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Finding the Fourth Proportional to 81.92, 113.83 and 81.09

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Solution

The fourth proportional to 81.92, 113.83 and 81.09 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.92 : 113.83 = 81.09 : x
  2. Step 2: Convert to fraction form
    81.92/113.83 = 81.09/x
  3. Step 3: Cross multiply
    81.92x = 113.83 × 81.09
  4. Step 4: Simplify right side
    81.92x = 9,230.47
  5. Step 5: Solve for x
    x = 9,230.47/81.92
  6. Step 6: Final answer
    x = 112.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.