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Finding the Fourth Proportional to 87.59, 120.92 and 69.23

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Solution

The fourth proportional to 87.59, 120.92 and 69.23 is: 95.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.59 : 120.92 = 69.23 : x
  2. Step 2: Convert to fraction form
    87.59/120.92 = 69.23/x
  3. Step 3: Cross multiply
    87.59x = 120.92 × 69.23
  4. Step 4: Simplify right side
    87.59x = 8,370.34
  5. Step 5: Solve for x
    x = 8,370.34/87.59
  6. Step 6: Final answer
    x = 95.57

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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.