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Finding the Fourth Proportional to 82,115.92, 122,933.97 and 74,236.64

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Solution

The fourth proportional to 82,115.92, 122,933.97 and 74,236.64 is: 111,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.92 : 122,933.97 = 74,236.64 : x
  2. Step 2: Convert to fraction form
    82,115.92/122,933.97 = 74,236.64/x
  3. Step 3: Cross multiply
    82,115.92x = 122,933.97 × 74,236.64
  4. Step 4: Simplify right side
    82,115.92x = 9,126,204,874.66
  5. Step 5: Solve for x
    x = 9,126,204,874.66/82,115.92
  6. Step 6: Final answer
    x = 111,138.07

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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.