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Finding the Fourth Proportional to 198,540.67, 297,866.59 and 80,295.05

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Solution

The fourth proportional to 198,540.67, 297,866.59 and 80,295.05 is: 120,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,540.67 : 297,866.59 = 80,295.05 : x
  2. Step 2: Convert to fraction form
    198,540.67/297,866.59 = 80,295.05/x
  3. Step 3: Cross multiply
    198,540.67x = 297,866.59 × 80,295.05
  4. Step 4: Simplify right side
    198,540.67x = 23,917,212,737.38
  5. Step 5: Solve for x
    x = 23,917,212,737.38/198,540.67
  6. Step 6: Final answer
    x = 120,465.06

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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.