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Finding the Fourth Proportional to 231,151.20, 345,958.80 and 167,791.20

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Solution

The fourth proportional to 231,151.20, 345,958.80 and 167,791.20 is: 251,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,151.20 : 345,958.80 = 167,791.20 : x
  2. Step 2: Convert to fraction form
    231,151.20/345,958.80 = 167,791.20/x
  3. Step 3: Cross multiply
    231,151.20x = 345,958.80 × 167,791.20
  4. Step 4: Simplify right side
    231,151.20x = 58,048,842,202.56
  5. Step 5: Solve for x
    x = 58,048,842,202.56/231,151.20
  6. Step 6: Final answer
    x = 251,129.31

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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.