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Finding the Fourth Proportional to 82.73, 123.85 and 63.54

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Solution

The fourth proportional to 82.73, 123.85 and 63.54 is: 95.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.73 : 123.85 = 63.54 : x
  2. Step 2: Convert to fraction form
    82.73/123.85 = 63.54/x
  3. Step 3: Cross multiply
    82.73x = 123.85 × 63.54
  4. Step 4: Simplify right side
    82.73x = 7,869.43
  5. Step 5: Solve for x
    x = 7,869.43/82.73
  6. Step 6: Final answer
    x = 95.12

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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.