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Finding the Fourth Proportional to 199,006.80, 298,072.80 and 80,617.20

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Solution

The fourth proportional to 199,006.80, 298,072.80 and 80,617.20 is: 120,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,006.80 : 298,072.80 = 80,617.20 : x
  2. Step 2: Convert to fraction form
    199,006.80/298,072.80 = 80,617.20/x
  3. Step 3: Cross multiply
    199,006.80x = 298,072.80 × 80,617.20
  4. Step 4: Simplify right side
    199,006.80x = 24,029,794,532.16
  5. Step 5: Solve for x
    x = 24,029,794,532.16/199,006.80
  6. Step 6: Final answer
    x = 120,748.61

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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.