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Finding the Fourth Proportional to 275,177.73, 412,767.05 and 75,500.85

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Solution

The fourth proportional to 275,177.73, 412,767.05 and 75,500.85 is: 113,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,177.73 : 412,767.05 = 75,500.85 : x
  2. Step 2: Convert to fraction form
    275,177.73/412,767.05 = 75,500.85/x
  3. Step 3: Cross multiply
    275,177.73x = 412,767.05 × 75,500.85
  4. Step 4: Simplify right side
    275,177.73x = 31,164,262,749.49
  5. Step 5: Solve for x
    x = 31,164,262,749.49/275,177.73
  6. Step 6: Final answer
    x = 113,251.40

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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.