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Finding the Fourth Proportional to 203,930.96, 281,469.68 and 113,318

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Solution

The fourth proportional to 203,930.96, 281,469.68 and 113,318 is: 156,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,930.96 : 281,469.68 = 113,318 : x
  2. Step 2: Convert to fraction form
    203,930.96/281,469.68 = 113,318/x
  3. Step 3: Cross multiply
    203,930.96x = 281,469.68 × 113,318
  4. Step 4: Simplify right side
    203,930.96x = 31,895,581,198.24
  5. Step 5: Solve for x
    x = 31,895,581,198.24/203,930.96
  6. Step 6: Final answer
    x = 156,403.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.