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Finding the Fourth Proportional to 199,029.80, 298,314.30 and 80,642.60

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Solution

The fourth proportional to 199,029.80, 298,314.30 and 80,642.60 is: 120,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,029.80 : 298,314.30 = 80,642.60 : x
  2. Step 2: Convert to fraction form
    199,029.80/298,314.30 = 80,642.60/x
  3. Step 3: Cross multiply
    199,029.80x = 298,314.30 × 80,642.60
  4. Step 4: Simplify right side
    199,029.80x = 24,056,840,769.18
  5. Step 5: Solve for x
    x = 24,056,840,769.18/199,029.80
  6. Step 6: Final answer
    x = 120,870.55

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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.