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Finding the Fourth Proportional to 221,491.44, 332,208.64 and 71,716.80

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Solution

The fourth proportional to 221,491.44, 332,208.64 and 71,716.80 is: 107,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,491.44 : 332,208.64 = 71,716.80 : x
  2. Step 2: Convert to fraction form
    221,491.44/332,208.64 = 71,716.80/x
  3. Step 3: Cross multiply
    221,491.44x = 332,208.64 × 71,716.80
  4. Step 4: Simplify right side
    221,491.44x = 23,824,940,593.15
  5. Step 5: Solve for x
    x = 23,824,940,593.15/221,491.44
  6. Step 6: Final answer
    x = 107,565.97

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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.