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Finding the Fourth Proportional to 87,431, 120,654.78 and 47,687

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Solution

The fourth proportional to 87,431, 120,654.78 and 47,687 is: 65,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,431 : 120,654.78 = 47,687 : x
  2. Step 2: Convert to fraction form
    87,431/120,654.78 = 47,687/x
  3. Step 3: Cross multiply
    87,431x = 120,654.78 × 47,687
  4. Step 4: Simplify right side
    87,431x = 5,753,664,493.86
  5. Step 5: Solve for x
    x = 5,753,664,493.86/87,431
  6. Step 6: Final answer
    x = 65,808.06

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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.