Finding the Fourth Proportional to 87,013,812,515.87, 120,079,067,046.27 and 48,431,904,406.70
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Solution
The fourth proportional to 87,013,812,515.87, 120,079,067,046.27 and 48,431,904,406.70 is: 66,836,031,295.27
Step by Step Solution
- Step 1: Write the proportion equation
87,013,812,515.87 : 120,079,067,046.27 = 48,431,904,406.70 : x - Step 2: Convert to fraction form
87,013,812,515.87/120,079,067,046.27 = 48,431,904,406.70/x - Step 3: Cross multiply
87,013,812,515.87x = 120,079,067,046.27 × 48,431,904,406.70 - Step 4: Simplify right side
87,013,812,515.87x = 5,815,657,896,430,910,046,208 - Step 5: Solve for x
x = 5,815,657,896,430,910,046,208/87,013,812,515.87 - Step 6: Final answer
x = 66,836,031,295.27
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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.