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Finding the Fourth Proportional to 221,471.80, 332,207.70 and 81,212.20

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Solution

The fourth proportional to 221,471.80, 332,207.70 and 81,212.20 is: 121,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,471.80 : 332,207.70 = 81,212.20 : x
  2. Step 2: Convert to fraction form
    221,471.80/332,207.70 = 81,212.20/x
  3. Step 3: Cross multiply
    221,471.80x = 332,207.70 × 81,212.20
  4. Step 4: Simplify right side
    221,471.80x = 26,979,318,173.94
  5. Step 5: Solve for x
    x = 26,979,318,173.94/221,471.80
  6. Step 6: Final answer
    x = 121,818.30

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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.