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Finding the Fourth Proportional to 171,016.90, 256,525.96 and 100,847

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Solution

The fourth proportional to 171,016.90, 256,525.96 and 100,847 is: 151,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,016.90 : 256,525.96 = 100,847 : x
  2. Step 2: Convert to fraction form
    171,016.90/256,525.96 = 100,847/x
  3. Step 3: Cross multiply
    171,016.90x = 256,525.96 × 100,847
  4. Step 4: Simplify right side
    171,016.90x = 25,869,873,488.12
  5. Step 5: Solve for x
    x = 25,869,873,488.12/171,016.90
  6. Step 6: Final answer
    x = 151,270.86

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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.