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Finding the Fourth Proportional to 82.62, 113.48 and 81.42

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Solution

The fourth proportional to 82.62, 113.48 and 81.42 is: 111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.62 : 113.48 = 81.42 : x
  2. Step 2: Convert to fraction form
    82.62/113.48 = 81.42/x
  3. Step 3: Cross multiply
    82.62x = 113.48 × 81.42
  4. Step 4: Simplify right side
    82.62x = 9,239.13
  5. Step 5: Solve for x
    x = 9,239.13/82.62
  6. Step 6: Final answer
    x = 111.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.