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Finding the Fourth Proportional to 140,638.39, 194,073.49 and 76,963.88

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Solution

The fourth proportional to 140,638.39, 194,073.49 and 76,963.88 is: 106,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,638.39 : 194,073.49 = 76,963.88 : x
  2. Step 2: Convert to fraction form
    140,638.39/194,073.49 = 76,963.88/x
  3. Step 3: Cross multiply
    140,638.39x = 194,073.49 × 76,963.88
  4. Step 4: Simplify right side
    140,638.39x = 14,936,648,795.54
  5. Step 5: Solve for x
    x = 14,936,648,795.54/140,638.39
  6. Step 6: Final answer
    x = 106,206.06

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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.