Finding the Fourth Proportional to 212,799,367,746.04, 293,662,937,765.12 and 120,119,730,191.60
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Solution
The fourth proportional to 212,799,367,746.04, 293,662,937,765.12 and 120,119,730,191.60 is: 165,765,120,569.89
Step by Step Solution
- Step 1: Write the proportion equation
212,799,367,746.04 : 293,662,937,765.12 = 120,119,730,191.60 : x - Step 2: Convert to fraction form
212,799,367,746.04/293,662,937,765.12 = 120,119,730,191.60/x - Step 3: Cross multiply
212,799,367,746.04x = 293,662,937,765.12 × 120,119,730,191.60 - Step 4: Simplify right side
212,799,367,746.04x = 35,274,712,851,618,837,037,056 - Step 5: Solve for x
x = 35,274,712,851,618,837,037,056/212,799,367,746.04 - Step 6: Final answer
x = 165,765,120,569.89
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.