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Finding the Fourth Proportional to 199,267.20, 298,980.90 and 80,947.80

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Solution

The fourth proportional to 199,267.20, 298,980.90 and 80,947.80 is: 121,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,267.20 : 298,980.90 = 80,947.80 : x
  2. Step 2: Convert to fraction form
    199,267.20/298,980.90 = 80,947.80/x
  3. Step 3: Cross multiply
    199,267.20x = 298,980.90 × 80,947.80
  4. Step 4: Simplify right side
    199,267.20x = 24,201,846,097.02
  5. Step 5: Solve for x
    x = 24,201,846,097.02/199,267.20
  6. Step 6: Final answer
    x = 121,454.24

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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.