Well, while doing the calculations doesn't require any more than simple arithmetic is does get a bit involved and arcane.
For starters, if you are going to make your own orchid nutrients, you are going to need sources of soluble calcium and magnesium.
Greenhouse grade calcium nitrate, also called calcium ammonium nitrate (CAM) is a good source of calcium and nitrogen. Here is one brand:
YaraLiva
Greenhouse grade magnesium nitrate is a good source of magnesium and nitrogen. here is one brand:
Magnisal - Water Soluble Fertilizer - Haifa Fertilizers
There are more complications to come but first lets calculate the NPK,Ca,Mg of a formulation of the 2 materials.
So CAM has an NPK value of 15.5-0-0 and 19% calcium.
Magnisal brand magnesium nitrate has an NPK of 11-0-0 and 9.6% magnesium.
It is a bit hard to show the calculatons here since these posts don't format data tables well so to help a bit I will write the compostion of CAM as 15.5-0-0-19-0 (N-P-K-Ca-Mg) and Magnisal as 11-0-0-0-9.6.
So if you wanted to calculate the N-P-K-Ca-Mg of a 3:2 mixture of CAM:Magnisal you would start:
3 parts X 15.5-0-19-0=46.5-0-0-57
2 parts X 11-0-0-0-9.6= 22.0-0-0-19.2
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5 parts 68.5-0-0-57-19.2
68.5-0-0-57-19.2 divided by 5 = 13.7-0-0-11.4-3.8
So, 3 parts CAM plus 2 parts Magnisal gives you a fertilizer composition of 13.7-0-0-11.4-3.8 (N-P-K-Ca-Mg)
Next we need to add phosphorous and potassium and then consider the ratio of nitrate to ammonium nitrogen.