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Finding the Fourth Proportional to 119,251.95, 178,766.75 and 40,310.97

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Solution

The fourth proportional to 119,251.95, 178,766.75 and 40,310.97 is: 60,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,251.95 : 178,766.75 = 40,310.97 : x
  2. Step 2: Convert to fraction form
    119,251.95/178,766.75 = 40,310.97/x
  3. Step 3: Cross multiply
    119,251.95x = 178,766.75 × 40,310.97
  4. Step 4: Simplify right side
    119,251.95x = 7,206,261,096.25
  5. Step 5: Solve for x
    x = 7,206,261,096.25/119,251.95
  6. Step 6: Final answer
    x = 60,428.87

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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.