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Finding the Fourth Proportional to 87,879, 131,791.24 and 31,711.80

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Solution

The fourth proportional to 87,879, 131,791.24 and 31,711.80 is: 47,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,879 : 131,791.24 = 31,711.80 : x
  2. Step 2: Convert to fraction form
    87,879/131,791.24 = 31,711.80/x
  3. Step 3: Cross multiply
    87,879x = 131,791.24 × 31,711.80
  4. Step 4: Simplify right side
    87,879x = 4,179,337,444.63
  5. Step 5: Solve for x
    x = 4,179,337,444.63/87,879
  6. Step 6: Final answer
    x = 47,557.86

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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.