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Finding the Fourth Proportional to 221,449.70, 332,227.26 and 71,690

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Solution

The fourth proportional to 221,449.70, 332,227.26 and 71,690 is: 107,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,449.70 : 332,227.26 = 71,690 : x
  2. Step 2: Convert to fraction form
    221,449.70/332,227.26 = 71,690/x
  3. Step 3: Cross multiply
    221,449.70x = 332,227.26 × 71,690
  4. Step 4: Simplify right side
    221,449.70x = 23,817,372,269.40
  5. Step 5: Solve for x
    x = 23,817,372,269.40/221,449.70
  6. Step 6: Final answer
    x = 107,552.06

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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.