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Finding the Fourth Proportional to 81.17, 112.19 and 65.73

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Solution

The fourth proportional to 81.17, 112.19 and 65.73 is: 90.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.17 : 112.19 = 65.73 : x
  2. Step 2: Convert to fraction form
    81.17/112.19 = 65.73/x
  3. Step 3: Cross multiply
    81.17x = 112.19 × 65.73
  4. Step 4: Simplify right side
    81.17x = 7,373.92
  5. Step 5: Solve for x
    x = 7,373.92/81.17
  6. Step 6: Final answer
    x = 90.85

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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.