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Finding the Fourth Proportional to 262,714.60, 394,169.10 and 85,227.40

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Solution

The fourth proportional to 262,714.60, 394,169.10 and 85,227.40 is: 127,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,714.60 : 394,169.10 = 85,227.40 : x
  2. Step 2: Convert to fraction form
    262,714.60/394,169.10 = 85,227.40/x
  3. Step 3: Cross multiply
    262,714.60x = 394,169.10 × 85,227.40
  4. Step 4: Simplify right side
    262,714.60x = 33,594,007,553.34
  5. Step 5: Solve for x
    x = 33,594,007,553.34/262,714.60
  6. Step 6: Final answer
    x = 127,872.63

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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.