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Finding the Fourth Proportional to 178,273.80, 267,410.70 and 78,327.90

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Solution

The fourth proportional to 178,273.80, 267,410.70 and 78,327.90 is: 117,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,273.80 : 267,410.70 = 78,327.90 : x
  2. Step 2: Convert to fraction form
    178,273.80/267,410.70 = 78,327.90/x
  3. Step 3: Cross multiply
    178,273.80x = 267,410.70 × 78,327.90
  4. Step 4: Simplify right side
    178,273.80x = 20,945,718,568.53
  5. Step 5: Solve for x
    x = 20,945,718,568.53/178,273.80
  6. Step 6: Final answer
    x = 117,491.85

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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.