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Finding the Fourth Proportional to 221,409.60, 332,114.40 and 71,660.85

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Solution

The fourth proportional to 221,409.60, 332,114.40 and 71,660.85 is: 107,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409.60 : 332,114.40 = 71,660.85 : x
  2. Step 2: Convert to fraction form
    221,409.60/332,114.40 = 71,660.85/x
  3. Step 3: Cross multiply
    221,409.60x = 332,114.40 × 71,660.85
  4. Step 4: Simplify right side
    221,409.60x = 23,799,600,201.24
  5. Step 5: Solve for x
    x = 23,799,600,201.24/221,409.60
  6. Step 6: Final answer
    x = 107,491.28

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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.