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Finding the Fourth Proportional to 140,714.80, 194,179.20 and 77,040.29

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Solution

The fourth proportional to 140,714.80, 194,179.20 and 77,040.29 is: 106,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,714.80 : 194,179.20 = 77,040.29 : x
  2. Step 2: Convert to fraction form
    140,714.80/194,179.20 = 77,040.29/x
  3. Step 3: Cross multiply
    140,714.80x = 194,179.20 × 77,040.29
  4. Step 4: Simplify right side
    140,714.80x = 14,959,621,879.97
  5. Step 5: Solve for x
    x = 14,959,621,879.97/140,714.80
  6. Step 6: Final answer
    x = 106,311.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.