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Finding the Fourth Proportional to 221,471.64, 332,251.23 and 81,231.48

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Solution

The fourth proportional to 221,471.64, 332,251.23 and 81,231.48 is: 121,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,471.64 : 332,251.23 = 81,231.48 : x
  2. Step 2: Convert to fraction form
    221,471.64/332,251.23 = 81,231.48/x
  3. Step 3: Cross multiply
    221,471.64x = 332,251.23 × 81,231.48
  4. Step 4: Simplify right side
    221,471.64x = 26,989,259,144.72
  5. Step 5: Solve for x
    x = 26,989,259,144.72/221,471.64
  6. Step 6: Final answer
    x = 121,863.27

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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.