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Finding the Fourth Proportional to 82.42, 122.92 and 77.76

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Solution

The fourth proportional to 82.42, 122.92 and 77.76 is: 115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.42 : 122.92 = 77.76 : x
  2. Step 2: Convert to fraction form
    82.42/122.92 = 77.76/x
  3. Step 3: Cross multiply
    82.42x = 122.92 × 77.76
  4. Step 4: Simplify right side
    82.42x = 9,558.06
  5. Step 5: Solve for x
    x = 9,558.06/82.42
  6. Step 6: Final answer
    x = 115.97

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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.