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Finding the Fourth Proportional to 87.42, 120.54 and 76.50

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Solution

The fourth proportional to 87.42, 120.54 and 76.50 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.42 : 120.54 = 76.50 : x
  2. Step 2: Convert to fraction form
    87.42/120.54 = 76.50/x
  3. Step 3: Cross multiply
    87.42x = 120.54 × 76.50
  4. Step 4: Simplify right side
    87.42x = 9,221.31
  5. Step 5: Solve for x
    x = 9,221.31/87.42
  6. Step 6: Final answer
    x = 105.48

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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.