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Finding the Fourth Proportional to 82.44, 122.92 and 81.43

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Solution

The fourth proportional to 82.44, 122.92 and 81.43 is: 121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 122.92 = 81.43 : x
  2. Step 2: Convert to fraction form
    82.44/122.92 = 81.43/x
  3. Step 3: Cross multiply
    82.44x = 122.92 × 81.43
  4. Step 4: Simplify right side
    82.44x = 10,009.38
  5. Step 5: Solve for x
    x = 10,009.38/82.44
  6. Step 6: Final answer
    x = 121.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.