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Finding the Fourth Proportional to 178,338.98, 267,624.39 and 77,235.78

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Solution

The fourth proportional to 178,338.98, 267,624.39 and 77,235.78 is: 115,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,338.98 : 267,624.39 = 77,235.78 : x
  2. Step 2: Convert to fraction form
    178,338.98/267,624.39 = 77,235.78/x
  3. Step 3: Cross multiply
    178,338.98x = 267,624.39 × 77,235.78
  4. Step 4: Simplify right side
    178,338.98x = 20,670,178,508.67
  5. Step 5: Solve for x
    x = 20,670,178,508.67/178,338.98
  6. Step 6: Final answer
    x = 115,903.88

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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.