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Finding the Fourth Proportional to 138,020.40, 206,512.20 and 125,578.80

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Solution

The fourth proportional to 138,020.40, 206,512.20 and 125,578.80 is: 187,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,020.40 : 206,512.20 = 125,578.80 : x
  2. Step 2: Convert to fraction form
    138,020.40/206,512.20 = 125,578.80/x
  3. Step 3: Cross multiply
    138,020.40x = 206,512.20 × 125,578.80
  4. Step 4: Simplify right side
    138,020.40x = 25,933,554,261.36
  5. Step 5: Solve for x
    x = 25,933,554,261.36/138,020.40
  6. Step 6: Final answer
    x = 187,896.53

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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.