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Finding the Fourth Proportional to 133,696.80, 200,221.20 and 71,229.60

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Solution

The fourth proportional to 133,696.80, 200,221.20 and 71,229.60 is: 106,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.80 : 200,221.20 = 71,229.60 : x
  2. Step 2: Convert to fraction form
    133,696.80/200,221.20 = 71,229.60/x
  3. Step 3: Cross multiply
    133,696.80x = 200,221.20 × 71,229.60
  4. Step 4: Simplify right side
    133,696.80x = 14,261,675,987.52
  5. Step 5: Solve for x
    x = 14,261,675,987.52/133,696.80
  6. Step 6: Final answer
    x = 106,671.78

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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.