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Finding the Fourth Proportional to 198,671.40, 297,812.70 and 80,184.60

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Solution

The fourth proportional to 198,671.40, 297,812.70 and 80,184.60 is: 120,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,671.40 : 297,812.70 = 80,184.60 : x
  2. Step 2: Convert to fraction form
    198,671.40/297,812.70 = 80,184.60/x
  3. Step 3: Cross multiply
    198,671.40x = 297,812.70 × 80,184.60
  4. Step 4: Simplify right side
    198,671.40x = 23,879,992,224.42
  5. Step 5: Solve for x
    x = 23,879,992,224.42/198,671.40
  6. Step 6: Final answer
    x = 120,198.44

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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.