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Finding the Fourth Proportional to 82.48, 113.67 and 61.71

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Solution

The fourth proportional to 82.48, 113.67 and 61.71 is: 85.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.48 : 113.67 = 61.71 : x
  2. Step 2: Convert to fraction form
    82.48/113.67 = 61.71/x
  3. Step 3: Cross multiply
    82.48x = 113.67 × 61.71
  4. Step 4: Simplify right side
    82.48x = 7,013.70
  5. Step 5: Solve for x
    x = 7,013.70/82.48
  6. Step 6: Final answer
    x = 85.04

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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.