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Finding the Fourth Proportional to 87.07, 120.13 and 52.09

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Solution

The fourth proportional to 87.07, 120.13 and 52.09 is: 71.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.07 : 120.13 = 52.09 : x
  2. Step 2: Convert to fraction form
    87.07/120.13 = 52.09/x
  3. Step 3: Cross multiply
    87.07x = 120.13 × 52.09
  4. Step 4: Simplify right side
    87.07x = 6,257.57
  5. Step 5: Solve for x
    x = 6,257.57/87.07
  6. Step 6: Final answer
    x = 71.87

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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.