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Finding the Fourth Proportional to 87,780.80, 131,584.80 and 43,414.40

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Solution

The fourth proportional to 87,780.80, 131,584.80 and 43,414.40 is: 65,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,780.80 : 131,584.80 = 43,414.40 : x
  2. Step 2: Convert to fraction form
    87,780.80/131,584.80 = 43,414.40/x
  3. Step 3: Cross multiply
    87,780.80x = 131,584.80 × 43,414.40
  4. Step 4: Simplify right side
    87,780.80x = 5,712,675,141.12
  5. Step 5: Solve for x
    x = 5,712,675,141.12/87,780.80
  6. Step 6: Final answer
    x = 65,078.87

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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.