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Finding the Fourth Proportional to 87.43, 131.08 and 50.91

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Solution

The fourth proportional to 87.43, 131.08 and 50.91 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.43 : 131.08 = 50.91 : x
  2. Step 2: Convert to fraction form
    87.43/131.08 = 50.91/x
  3. Step 3: Cross multiply
    87.43x = 131.08 × 50.91
  4. Step 4: Simplify right side
    87.43x = 6,673.28
  5. Step 5: Solve for x
    x = 6,673.28/87.43
  6. Step 6: Final answer
    x = 76.33

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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.