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Finding the Fourth Proportional to 87.57, 131.22 and 49.01

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Solution

The fourth proportional to 87.57, 131.22 and 49.01 is: 73.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 131.22 = 49.01 : x
  2. Step 2: Convert to fraction form
    87.57/131.22 = 49.01/x
  3. Step 3: Cross multiply
    87.57x = 131.22 × 49.01
  4. Step 4: Simplify right side
    87.57x = 6,430.44
  5. Step 5: Solve for x
    x = 6,430.44/87.57
  6. Step 6: Final answer
    x = 73.43

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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.