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Finding the Fourth Proportional to 82.44, 122.70 and 81.78

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Solution

The fourth proportional to 82.44, 122.70 and 81.78 is: 121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 122.70 = 81.78 : x
  2. Step 2: Convert to fraction form
    82.44/122.70 = 81.78/x
  3. Step 3: Cross multiply
    82.44x = 122.70 × 81.78
  4. Step 4: Simplify right side
    82.44x = 10,034.41
  5. Step 5: Solve for x
    x = 10,034.41/82.44
  6. Step 6: Final answer
    x = 121.72

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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.