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Finding the Fourth Proportional to 172,769.88, 258,714.18 and 137,760.60

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Solution

The fourth proportional to 172,769.88, 258,714.18 and 137,760.60 is: 206,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,769.88 : 258,714.18 = 137,760.60 : x
  2. Step 2: Convert to fraction form
    172,769.88/258,714.18 = 137,760.60/x
  3. Step 3: Cross multiply
    172,769.88x = 258,714.18 × 137,760.60
  4. Step 4: Simplify right side
    172,769.88x = 35,640,620,665.31
  5. Step 5: Solve for x
    x = 35,640,620,665.31/172,769.88
  6. Step 6: Final answer
    x = 206,289.55

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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.