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Finding the Fourth Proportional to 123.91, 185.65 and 87.66

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Solution

The fourth proportional to 123.91, 185.65 and 87.66 is: 131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 185.65 = 87.66 : x
  2. Step 2: Convert to fraction form
    123.91/185.65 = 87.66/x
  3. Step 3: Cross multiply
    123.91x = 185.65 × 87.66
  4. Step 4: Simplify right side
    123.91x = 16,273.40
  5. Step 5: Solve for x
    x = 16,273.40/123.91
  6. Step 6: Final answer
    x = 131.34

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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.