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Finding the Fourth Proportional to 198,591.84, 298,099.98 and 80,340.48

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Solution

The fourth proportional to 198,591.84, 298,099.98 and 80,340.48 is: 120,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,591.84 : 298,099.98 = 80,340.48 : x
  2. Step 2: Convert to fraction form
    198,591.84/298,099.98 = 80,340.48/x
  3. Step 3: Cross multiply
    198,591.84x = 298,099.98 × 80,340.48
  4. Step 4: Simplify right side
    198,591.84x = 23,949,495,481.19
  5. Step 5: Solve for x
    x = 23,949,495,481.19/198,591.84
  6. Step 6: Final answer
    x = 120,596.57

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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.