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Finding the Fourth Proportional to 109.53, 151.17 and 81.86

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Solution

The fourth proportional to 109.53, 151.17 and 81.86 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 151.17 = 81.86 : x
  2. Step 2: Convert to fraction form
    109.53/151.17 = 81.86/x
  3. Step 3: Cross multiply
    109.53x = 151.17 × 81.86
  4. Step 4: Simplify right side
    109.53x = 12,373.71
  5. Step 5: Solve for x
    x = 12,373.71/109.53
  6. Step 6: Final answer
    x = 112.97

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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.