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Finding the Fourth Proportional to 87,680.56, 131,520.84 and 81,382

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Solution

The fourth proportional to 87,680.56, 131,520.84 and 81,382 is: 122,073

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,680.56 : 131,520.84 = 81,382 : x
  2. Step 2: Convert to fraction form
    87,680.56/131,520.84 = 81,382/x
  3. Step 3: Cross multiply
    87,680.56x = 131,520.84 × 81,382
  4. Step 4: Simplify right side
    87,680.56x = 10,703,429,000.88
  5. Step 5: Solve for x
    x = 10,703,429,000.88/87,680.56
  6. Step 6: Final answer
    x = 122,073

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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.