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Finding the Fourth Proportional to 198,464.54, 297,706.54 and 80,121.12

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Solution

The fourth proportional to 198,464.54, 297,706.54 and 80,121.12 is: 120,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,464.54 : 297,706.54 = 80,121.12 : x
  2. Step 2: Convert to fraction form
    198,464.54/297,706.54 = 80,121.12/x
  3. Step 3: Cross multiply
    198,464.54x = 297,706.54 × 80,121.12
  4. Step 4: Simplify right side
    198,464.54x = 23,852,581,416.12
  5. Step 5: Solve for x
    x = 23,852,581,416.12/198,464.54
  6. Step 6: Final answer
    x = 120,185.61

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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.