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Finding the Fourth Proportional to 198,837.50, 274,395.75 and 109,413.50

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Solution

The fourth proportional to 198,837.50, 274,395.75 and 109,413.50 is: 150,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,837.50 : 274,395.75 = 109,413.50 : x
  2. Step 2: Convert to fraction form
    198,837.50/274,395.75 = 109,413.50/x
  3. Step 3: Cross multiply
    198,837.50x = 274,395.75 × 109,413.50
  4. Step 4: Simplify right side
    198,837.50x = 30,022,599,392.63
  5. Step 5: Solve for x
    x = 30,022,599,392.63/198,837.50
  6. Step 6: Final answer
    x = 150,990.63

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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.