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Finding the Fourth Proportional to 87.76, 130.90 and 74.14

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Solution

The fourth proportional to 87.76, 130.90 and 74.14 is: 110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.76 : 130.90 = 74.14 : x
  2. Step 2: Convert to fraction form
    87.76/130.90 = 74.14/x
  3. Step 3: Cross multiply
    87.76x = 130.90 × 74.14
  4. Step 4: Simplify right side
    87.76x = 9,704.93
  5. Step 5: Solve for x
    x = 9,704.93/87.76
  6. Step 6: Final answer
    x = 110.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.