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Finding the Fourth Proportional to 82.09, 123.85 and 81.41

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Solution

The fourth proportional to 82.09, 123.85 and 81.41 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 123.85 = 81.41 : x
  2. Step 2: Convert to fraction form
    82.09/123.85 = 81.41/x
  3. Step 3: Cross multiply
    82.09x = 123.85 × 81.41
  4. Step 4: Simplify right side
    82.09x = 10,082.34
  5. Step 5: Solve for x
    x = 10,082.34/82.09
  6. Step 6: Final answer
    x = 122.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.