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Finding the Fourth Proportional to 87.23, 131.02 and 74.41

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Solution

The fourth proportional to 87.23, 131.02 and 74.41 is: 111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.23 : 131.02 = 74.41 : x
  2. Step 2: Convert to fraction form
    87.23/131.02 = 74.41/x
  3. Step 3: Cross multiply
    87.23x = 131.02 × 74.41
  4. Step 4: Simplify right side
    87.23x = 9,749.20
  5. Step 5: Solve for x
    x = 9,749.20/87.23
  6. Step 6: Final answer
    x = 111.76

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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.