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Finding the Fourth Proportional to 137,851.80, 206,777.70 and 125,167.20

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Solution

The fourth proportional to 137,851.80, 206,777.70 and 125,167.20 is: 187,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.80 : 206,777.70 = 125,167.20 : x
  2. Step 2: Convert to fraction form
    137,851.80/206,777.70 = 125,167.20/x
  3. Step 3: Cross multiply
    137,851.80x = 206,777.70 × 125,167.20
  4. Step 4: Simplify right side
    137,851.80x = 25,881,785,731.44
  5. Step 5: Solve for x
    x = 25,881,785,731.44/137,851.80
  6. Step 6: Final answer
    x = 187,750.80

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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.