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Finding the Fourth Proportional to 81.57, 112.38 and 60.83

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Solution

The fourth proportional to 81.57, 112.38 and 60.83 is: 83.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.57 : 112.38 = 60.83 : x
  2. Step 2: Convert to fraction form
    81.57/112.38 = 60.83/x
  3. Step 3: Cross multiply
    81.57x = 112.38 × 60.83
  4. Step 4: Simplify right side
    81.57x = 6,836.51
  5. Step 5: Solve for x
    x = 6,836.51/81.57
  6. Step 6: Final answer
    x = 83.82

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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.