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Finding the Fourth Proportional to 82.53, 123.81 and 41.97

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Solution

The fourth proportional to 82.53, 123.81 and 41.97 is: 62.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 123.81 = 41.97 : x
  2. Step 2: Convert to fraction form
    82.53/123.81 = 41.97/x
  3. Step 3: Cross multiply
    82.53x = 123.81 × 41.97
  4. Step 4: Simplify right side
    82.53x = 5,196.31
  5. Step 5: Solve for x
    x = 5,196.31/82.53
  6. Step 6: Final answer
    x = 62.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.