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Finding the Fourth Proportional to 87,663, 120,974.94 and 47,919

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Solution

The fourth proportional to 87,663, 120,974.94 and 47,919 is: 66,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,663 : 120,974.94 = 47,919 : x
  2. Step 2: Convert to fraction form
    87,663/120,974.94 = 47,919/x
  3. Step 3: Cross multiply
    87,663x = 120,974.94 × 47,919
  4. Step 4: Simplify right side
    87,663x = 5,796,998,149.86
  5. Step 5: Solve for x
    x = 5,796,998,149.86/87,663
  6. Step 6: Final answer
    x = 66,128.22

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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.