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Finding the Fourth Proportional to 127,714.86, 191,375.34 and 80,869.32

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Solution

The fourth proportional to 127,714.86, 191,375.34 and 80,869.32 is: 121,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,714.86 : 191,375.34 = 80,869.32 : x
  2. Step 2: Convert to fraction form
    127,714.86/191,375.34 = 80,869.32/x
  3. Step 3: Cross multiply
    127,714.86x = 191,375.34 × 80,869.32
  4. Step 4: Simplify right side
    127,714.86x = 15,476,393,610.57
  5. Step 5: Solve for x
    x = 15,476,393,610.57/127,714.86
  6. Step 6: Final answer
    x = 121,179.27

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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.