Question: How to make a 3d plot + variable color (4d) ?

Hello ! I need to create a graph of f(a,b,c) = 1+b/a*c, where "b" goes from 30 to 120, "c" from 0 and 30, and "a" would be from "b" to 220. (but if that part is too complicated, "a" going from 120 to 220 would be okay) The way I visualize this graph is like a typical 3d graph, with no animation, but with a special color mapping. Let's say my variable "a" would be on the x (horizontal) axis variable "b" on the y (depth) axis variable "c" on the z (height) axis then color of each point would be mapped to the result, f(a,b,c) How can this be done ? Thanks you very much !
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