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Finding the Fourth Proportional to 221,200.80, 331,720.20 and 71,480.40

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Solution

The fourth proportional to 221,200.80, 331,720.20 and 71,480.40 is: 107,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,200.80 : 331,720.20 = 71,480.40 : x
  2. Step 2: Convert to fraction form
    221,200.80/331,720.20 = 71,480.40/x
  3. Step 3: Cross multiply
    221,200.80x = 331,720.20 × 71,480.40
  4. Step 4: Simplify right side
    221,200.80x = 23,711,492,584.08
  5. Step 5: Solve for x
    x = 23,711,492,584.08/221,200.80
  6. Step 6: Final answer
    x = 107,194.43

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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.