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Finding the Fourth Proportional to 275,195.70, 412,834.56 and 97,687.85

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Solution

The fourth proportional to 275,195.70, 412,834.56 and 97,687.85 is: 146,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,195.70 : 412,834.56 = 97,687.85 : x
  2. Step 2: Convert to fraction form
    275,195.70/412,834.56 = 97,687.85/x
  3. Step 3: Cross multiply
    275,195.70x = 412,834.56 × 97,687.85
  4. Step 4: Simplify right side
    275,195.70x = 40,328,918,507.92
  5. Step 5: Solve for x
    x = 40,328,918,507.92/275,195.70
  6. Step 6: Final answer
    x = 146,546.33

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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.