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Finding the Fourth Proportional to 112.28, 168.57 and 81.83

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Solution

The fourth proportional to 112.28, 168.57 and 81.83 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.28 : 168.57 = 81.83 : x
  2. Step 2: Convert to fraction form
    112.28/168.57 = 81.83/x
  3. Step 3: Cross multiply
    112.28x = 168.57 × 81.83
  4. Step 4: Simplify right side
    112.28x = 13,793.87
  5. Step 5: Solve for x
    x = 13,793.87/112.28
  6. Step 6: Final answer
    x = 122.86

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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.