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Finding the Fourth Proportional to 87.57, 120.96 and 76.64

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Solution

The fourth proportional to 87.57, 120.96 and 76.64 is: 105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 120.96 = 76.64 : x
  2. Step 2: Convert to fraction form
    87.57/120.96 = 76.64/x
  3. Step 3: Cross multiply
    87.57x = 120.96 × 76.64
  4. Step 4: Simplify right side
    87.57x = 9,269.77
  5. Step 5: Solve for x
    x = 9,269.77/87.57
  6. Step 6: Final answer
    x = 105.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.