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Finding the Fourth Proportional to 178,155.40, 267,232.92 and 72,974.56

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Solution

The fourth proportional to 178,155.40, 267,232.92 and 72,974.56 is: 109,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,155.40 : 267,232.92 = 72,974.56 : x
  2. Step 2: Convert to fraction form
    178,155.40/267,232.92 = 72,974.56/x
  3. Step 3: Cross multiply
    178,155.40x = 267,232.92 × 72,974.56
  4. Step 4: Simplify right side
    178,155.40x = 19,501,204,754.52
  5. Step 5: Solve for x
    x = 19,501,204,754.52/178,155.40
  6. Step 6: Final answer
    x = 109,461.77

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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.