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Finding the Fourth Proportional to 221,471.40, 332,259.90 and 71,711.75

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Solution

The fourth proportional to 221,471.40, 332,259.90 and 71,711.75 is: 107,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,471.40 : 332,259.90 = 71,711.75 : x
  2. Step 2: Convert to fraction form
    221,471.40/332,259.90 = 71,711.75/x
  3. Step 3: Cross multiply
    221,471.40x = 332,259.90 × 71,711.75
  4. Step 4: Simplify right side
    221,471.40x = 23,826,938,883.83
  5. Step 5: Solve for x
    x = 23,826,938,883.83/221,471.40
  6. Step 6: Final answer
    x = 107,584.72

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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.