Finding the Fourth Proportional to 205,431,859.68, 283,465,704.12 and 124,922,783.20
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Solution
The fourth proportional to 205,431,859.68, 283,465,704.12 and 124,922,783.20 is: 172,375,038.40
Step by Step Solution
- Step 1: Write the proportion equation
205,431,859.68 : 283,465,704.12 = 124,922,783.20 : x - Step 2: Convert to fraction form
205,431,859.68/283,465,704.12 = 124,922,783.20/x - Step 3: Cross multiply
205,431,859.68x = 283,465,704.12 × 124,922,783.20 - Step 4: Simplify right side
205,431,859.68x = 35,411,324,700,418,108 - Step 5: Solve for x
x = 35,411,324,700,418,108/205,431,859.68 - Step 6: Final answer
x = 172,375,038.40
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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.