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Finding the Fourth Proportional to 171,121.56, 256,905.90 and 137,405.58

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Solution

The fourth proportional to 171,121.56, 256,905.90 and 137,405.58 is: 206,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,121.56 : 256,905.90 = 137,405.58 : x
  2. Step 2: Convert to fraction form
    171,121.56/256,905.90 = 137,405.58/x
  3. Step 3: Cross multiply
    171,121.56x = 256,905.90 × 137,405.58
  4. Step 4: Simplify right side
    171,121.56x = 35,300,304,194.92
  5. Step 5: Solve for x
    x = 35,300,304,194.92/171,121.56
  6. Step 6: Final answer
    x = 206,287.88

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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.