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Finding the Fourth Proportional to 82.39, 123.46 and 69.61

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Solution

The fourth proportional to 82.39, 123.46 and 69.61 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.39 : 123.46 = 69.61 : x
  2. Step 2: Convert to fraction form
    82.39/123.46 = 69.61/x
  3. Step 3: Cross multiply
    82.39x = 123.46 × 69.61
  4. Step 4: Simplify right side
    82.39x = 8,594.05
  5. Step 5: Solve for x
    x = 8,594.05/82.39
  6. Step 6: Final answer
    x = 104.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.