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Finding the Fourth Proportional to 119,169.38, 178,753.92 and 30,422.90

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Solution

The fourth proportional to 119,169.38, 178,753.92 and 30,422.90 is: 45,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169.38 : 178,753.92 = 30,422.90 : x
  2. Step 2: Convert to fraction form
    119,169.38/178,753.92 = 30,422.90/x
  3. Step 3: Cross multiply
    119,169.38x = 178,753.92 × 30,422.90
  4. Step 4: Simplify right side
    119,169.38x = 5,438,212,632.77
  5. Step 5: Solve for x
    x = 5,438,212,632.77/119,169.38
  6. Step 6: Final answer
    x = 45,634.31

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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.