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Finding the Fourth Proportional to 140,638.31, 194,073.41 and 76,963.80

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Solution

The fourth proportional to 140,638.31, 194,073.41 and 76,963.80 is: 106,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,638.31 : 194,073.41 = 76,963.80 : x
  2. Step 2: Convert to fraction form
    140,638.31/194,073.41 = 76,963.80/x
  3. Step 3: Cross multiply
    140,638.31x = 194,073.41 × 76,963.80
  4. Step 4: Simplify right side
    140,638.31x = 14,936,627,112.56
  5. Step 5: Solve for x
    x = 14,936,627,112.56/140,638.31
  6. Step 6: Final answer
    x = 106,205.96

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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.