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Finding the Fourth Proportional to 87.66, 131.23 and 66.08

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Solution

The fourth proportional to 87.66, 131.23 and 66.08 is: 98.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.66 : 131.23 = 66.08 : x
  2. Step 2: Convert to fraction form
    87.66/131.23 = 66.08/x
  3. Step 3: Cross multiply
    87.66x = 131.23 × 66.08
  4. Step 4: Simplify right side
    87.66x = 8,671.19
  5. Step 5: Solve for x
    x = 8,671.19/87.66
  6. Step 6: Final answer
    x = 98.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.