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Finding the Fourth Proportional to 87,439, 120,665.82 and 47,695

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Solution

The fourth proportional to 87,439, 120,665.82 and 47,695 is: 65,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,439 : 120,665.82 = 47,695 : x
  2. Step 2: Convert to fraction form
    87,439/120,665.82 = 47,695/x
  3. Step 3: Cross multiply
    87,439x = 120,665.82 × 47,695
  4. Step 4: Simplify right side
    87,439x = 5,755,156,284.90
  5. Step 5: Solve for x
    x = 5,755,156,284.90/87,439
  6. Step 6: Final answer
    x = 65,819.10

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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.