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Finding the Fourth Proportional to 87.76, 120.24 and 86.62

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Solution

The fourth proportional to 87.76, 120.24 and 86.62 is: 118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.76 : 120.24 = 86.62 : x
  2. Step 2: Convert to fraction form
    87.76/120.24 = 86.62/x
  3. Step 3: Cross multiply
    87.76x = 120.24 × 86.62
  4. Step 4: Simplify right side
    87.76x = 10,415.19
  5. Step 5: Solve for x
    x = 10,415.19/87.76
  6. Step 6: Final answer
    x = 118.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.