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Finding the Fourth Proportional to 221,377.50, 332,098.65 and 71,568

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Solution

The fourth proportional to 221,377.50, 332,098.65 and 71,568 is: 107,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,377.50 : 332,098.65 = 71,568 : x
  2. Step 2: Convert to fraction form
    221,377.50/332,098.65 = 71,568/x
  3. Step 3: Cross multiply
    221,377.50x = 332,098.65 × 71,568
  4. Step 4: Simplify right side
    221,377.50x = 23,767,636,183.20
  5. Step 5: Solve for x
    x = 23,767,636,183.20/221,377.50
  6. Step 6: Final answer
    x = 107,362.47

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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.