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Finding the Fourth Proportional to 199,205.70, 298,978.65 and 80,961.90

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Solution

The fourth proportional to 199,205.70, 298,978.65 and 80,961.90 is: 121,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,205.70 : 298,978.65 = 80,961.90 : x
  2. Step 2: Convert to fraction form
    199,205.70/298,978.65 = 80,961.90/x
  3. Step 3: Cross multiply
    199,205.70x = 298,978.65 × 80,961.90
  4. Step 4: Simplify right side
    199,205.70x = 24,205,879,563.44
  5. Step 5: Solve for x
    x = 24,205,879,563.44/199,205.70
  6. Step 6: Final answer
    x = 121,511.98

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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.