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Finding the Fourth Proportional to 206,067.20, 308,851.20 and 87,489.60

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Solution

The fourth proportional to 206,067.20, 308,851.20 and 87,489.60 is: 131,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,067.20 : 308,851.20 = 87,489.60 : x
  2. Step 2: Convert to fraction form
    206,067.20/308,851.20 = 87,489.60/x
  3. Step 3: Cross multiply
    206,067.20x = 308,851.20 × 87,489.60
  4. Step 4: Simplify right side
    206,067.20x = 27,021,267,947.52
  5. Step 5: Solve for x
    x = 27,021,267,947.52/206,067.20
  6. Step 6: Final answer
    x = 131,128.43

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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.