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Finding the Fourth Proportional to 198,842.88, 274,394.88 and 109,413.12

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Solution

The fourth proportional to 198,842.88, 274,394.88 and 109,413.12 is: 150,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,842.88 : 274,394.88 = 109,413.12 : x
  2. Step 2: Convert to fraction form
    198,842.88/274,394.88 = 109,413.12/x
  3. Step 3: Cross multiply
    198,842.88x = 274,394.88 × 109,413.12
  4. Step 4: Simplify right side
    198,842.88x = 30,022,399,932.83
  5. Step 5: Solve for x
    x = 30,022,399,932.83/198,842.88
  6. Step 6: Final answer
    x = 150,985.54

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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.