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Finding the Fourth Proportional to 221,481.20, 332,270.40 and 109,215.20

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Solution

The fourth proportional to 221,481.20, 332,270.40 and 109,215.20 is: 163,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,481.20 : 332,270.40 = 109,215.20 : x
  2. Step 2: Convert to fraction form
    221,481.20/332,270.40 = 109,215.20/x
  3. Step 3: Cross multiply
    221,481.20x = 332,270.40 × 109,215.20
  4. Step 4: Simplify right side
    221,481.20x = 36,288,978,190.08
  5. Step 5: Solve for x
    x = 36,288,978,190.08/221,481.20
  6. Step 6: Final answer
    x = 163,846.77

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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.