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Finding the Fourth Proportional to 82.53, 124.31 and 76.90

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Solution

The fourth proportional to 82.53, 124.31 and 76.90 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 124.31 = 76.90 : x
  2. Step 2: Convert to fraction form
    82.53/124.31 = 76.90/x
  3. Step 3: Cross multiply
    82.53x = 124.31 × 76.90
  4. Step 4: Simplify right side
    82.53x = 9,559.44
  5. Step 5: Solve for x
    x = 9,559.44/82.53
  6. Step 6: Final answer
    x = 115.83

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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.