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Finding the Fourth Proportional to 203,793.80, 305,690.46 and 133,656.70

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Solution

The fourth proportional to 203,793.80, 305,690.46 and 133,656.70 is: 200,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,793.80 : 305,690.46 = 133,656.70 : x
  2. Step 2: Convert to fraction form
    203,793.80/305,690.46 = 133,656.70/x
  3. Step 3: Cross multiply
    203,793.80x = 305,690.46 × 133,656.70
  4. Step 4: Simplify right side
    203,793.80x = 40,857,578,105.08
  5. Step 5: Solve for x
    x = 40,857,578,105.08/203,793.80
  6. Step 6: Final answer
    x = 200,484.89

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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.