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Finding the Fourth Proportional to 203,431.80, 305,147.70 and 194,793.15

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Solution

The fourth proportional to 203,431.80, 305,147.70 and 194,793.15 is: 292,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431.80 : 305,147.70 = 194,793.15 : x
  2. Step 2: Convert to fraction form
    203,431.80/305,147.70 = 194,793.15/x
  3. Step 3: Cross multiply
    203,431.80x = 305,147.70 × 194,793.15
  4. Step 4: Simplify right side
    203,431.80x = 59,440,681,698.26
  5. Step 5: Solve for x
    x = 59,440,681,698.26/203,431.80
  6. Step 6: Final answer
    x = 292,189.73

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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.