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Finding the Fourth Proportional to 87.18, 119.58 and 76.24

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Solution

The fourth proportional to 87.18, 119.58 and 76.24 is: 104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.18 : 119.58 = 76.24 : x
  2. Step 2: Convert to fraction form
    87.18/119.58 = 76.24/x
  3. Step 3: Cross multiply
    87.18x = 119.58 × 76.24
  4. Step 4: Simplify right side
    87.18x = 9,116.64
  5. Step 5: Solve for x
    x = 9,116.64/87.18
  6. Step 6: Final answer
    x = 104.58

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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.