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Finding the Fourth Proportional to 171,034.22, 256,270.86 and 120,869.30

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Solution

The fourth proportional to 171,034.22, 256,270.86 and 120,869.30 is: 181,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034.22 : 256,270.86 = 120,869.30 : x
  2. Step 2: Convert to fraction form
    171,034.22/256,270.86 = 120,869.30/x
  3. Step 3: Cross multiply
    171,034.22x = 256,270.86 × 120,869.30
  4. Step 4: Simplify right side
    171,034.22x = 30,975,278,177.24
  5. Step 5: Solve for x
    x = 30,975,278,177.24/171,034.22
  6. Step 6: Final answer
    x = 181,105.74

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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.