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Finding the Fourth Proportional to 199,195.70, 298,963.65 and 80,951.90

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Solution

The fourth proportional to 199,195.70, 298,963.65 and 80,951.90 is: 121,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,195.70 : 298,963.65 = 80,951.90 : x
  2. Step 2: Convert to fraction form
    199,195.70/298,963.65 = 80,951.90/x
  3. Step 3: Cross multiply
    199,195.70x = 298,963.65 × 80,951.90
  4. Step 4: Simplify right side
    199,195.70x = 24,201,675,498.44
  5. Step 5: Solve for x
    x = 24,201,675,498.44/199,195.70
  6. Step 6: Final answer
    x = 121,496.98

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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.