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Finding the Fourth Proportional to 198,651.25, 298,164.14 and 72,413.51

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Solution

The fourth proportional to 198,651.25, 298,164.14 and 72,413.51 is: 108,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,651.25 : 298,164.14 = 72,413.51 : x
  2. Step 2: Convert to fraction form
    198,651.25/298,164.14 = 72,413.51/x
  3. Step 3: Cross multiply
    198,651.25x = 298,164.14 × 72,413.51
  4. Step 4: Simplify right side
    198,651.25x = 21,591,111,571.46
  5. Step 5: Solve for x
    x = 21,591,111,571.46/198,651.25
  6. Step 6: Final answer
    x = 108,688.53

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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.