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Finding the Fourth Proportional to 133,869.80, 200,793.82 and 45,121.40

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Solution

The fourth proportional to 133,869.80, 200,793.82 and 45,121.40 is: 67,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,869.80 : 200,793.82 = 45,121.40 : x
  2. Step 2: Convert to fraction form
    133,869.80/200,793.82 = 45,121.40/x
  3. Step 3: Cross multiply
    133,869.80x = 200,793.82 × 45,121.40
  4. Step 4: Simplify right side
    133,869.80x = 9,060,098,269.75
  5. Step 5: Solve for x
    x = 9,060,098,269.75/133,869.80
  6. Step 6: Final answer
    x = 67,678.43

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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.