Finding the Fourth Proportional to 106,827,142.80, 160,240,714.20 and 99,660,781.20
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Solution
The fourth proportional to 106,827,142.80, 160,240,714.20 and 99,660,781.20 is: 149,491,171.80
Step by Step Solution
- Step 1: Write the proportion equation
106,827,142.80 : 160,240,714.20 = 99,660,781.20 : x - Step 2: Convert to fraction form
106,827,142.80/160,240,714.20 = 99,660,781.20/x - Step 3: Cross multiply
106,827,142.80x = 160,240,714.20 × 99,660,781.20 - Step 4: Simplify right side
106,827,142.80x = 15,969,714,757,217,932 - Step 5: Solve for x
x = 15,969,714,757,217,932/106,827,142.80 - Step 6: Final answer
x = 149,491,171.80
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.