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Finding the Fourth Proportional to 82.75, 123.42 and 77.58

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Solution

The fourth proportional to 82.75, 123.42 and 77.58 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 123.42 = 77.58 : x
  2. Step 2: Convert to fraction form
    82.75/123.42 = 77.58/x
  3. Step 3: Cross multiply
    82.75x = 123.42 × 77.58
  4. Step 4: Simplify right side
    82.75x = 9,574.92
  5. Step 5: Solve for x
    x = 9,574.92/82.75
  6. Step 6: Final answer
    x = 115.71

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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.