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Finding the Fourth Proportional to 198,854.02, 274,413.02 and 108,207.88

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Solution

The fourth proportional to 198,854.02, 274,413.02 and 108,207.88 is: 149,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854.02 : 274,413.02 = 108,207.88 : x
  2. Step 2: Convert to fraction form
    198,854.02/274,413.02 = 108,207.88/x
  3. Step 3: Cross multiply
    198,854.02x = 274,413.02 × 108,207.88
  4. Step 4: Simplify right side
    198,854.02x = 29,693,651,138.60
  5. Step 5: Solve for x
    x = 29,693,651,138.60/198,854.02
  6. Step 6: Final answer
    x = 149,323.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.