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I'm pretty sure most hitch manufactures have one hitch listed for our trucks up to '96. If you have the name of the company that makes it, you can look it up to be sure. Like the hitch I just got for my '77 is a Reese 36025 lists '73-96 trucks, 78-96 broncos, and '71-93 dodges
My Reese fits many different Fords also. When I bought it, it came with an installation packet with various different bolts and shims to accommodate the different frames.
It all depends on the hitch. Some are one size fits all. Some are custom fitted. But as a general rule....a hitch that fits an 84 should fit your 78. Worst case....ya gotta drill a couple holes.
Cool. Try to find a custom fit, fully welded hitch. The universal fit, bolt-together designs are junk. A factory hitch from a pre-99 F-250 or 350 would be an excellent choice.