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Finding the Fourth Proportional to 71,531.68, 98,714.02 and 39,700.91

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Solution

The fourth proportional to 71,531.68, 98,714.02 and 39,700.91 is: 54,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,531.68 : 98,714.02 = 39,700.91 : x
  2. Step 2: Convert to fraction form
    71,531.68/98,714.02 = 39,700.91/x
  3. Step 3: Cross multiply
    71,531.68x = 98,714.02 × 39,700.91
  4. Step 4: Simplify right side
    71,531.68x = 3,919,036,423.76
  5. Step 5: Solve for x
    x = 3,919,036,423.76/71,531.68
  6. Step 6: Final answer
    x = 54,787.42

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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.