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Finding the Fourth Proportional to 87.64, 130.88 and 75.48

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Solution

The fourth proportional to 87.64, 130.88 and 75.48 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.64 : 130.88 = 75.48 : x
  2. Step 2: Convert to fraction form
    87.64/130.88 = 75.48/x
  3. Step 3: Cross multiply
    87.64x = 130.88 × 75.48
  4. Step 4: Simplify right side
    87.64x = 9,878.82
  5. Step 5: Solve for x
    x = 9,878.82/87.64
  6. Step 6: Final answer
    x = 112.72

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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.