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Finding the Fourth Proportional to 119,169.28, 178,753.76 and 30,422.78

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Solution

The fourth proportional to 119,169.28, 178,753.76 and 30,422.78 is: 45,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169.28 : 178,753.76 = 30,422.78 : x
  2. Step 2: Convert to fraction form
    119,169.28/178,753.76 = 30,422.78/x
  3. Step 3: Cross multiply
    119,169.28x = 178,753.76 × 30,422.78
  4. Step 4: Simplify right side
    119,169.28x = 5,438,186,314.65
  5. Step 5: Solve for x
    x = 5,438,186,314.65/119,169.28
  6. Step 6: Final answer
    x = 45,634.13

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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.