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Finding the Fourth Proportional to 198,651.50, 298,164.51 and 72,413.75

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Solution

The fourth proportional to 198,651.50, 298,164.51 and 72,413.75 is: 108,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,651.50 : 298,164.51 = 72,413.75 : x
  2. Step 2: Convert to fraction form
    198,651.50/298,164.51 = 72,413.75/x
  3. Step 3: Cross multiply
    198,651.50x = 298,164.51 × 72,413.75
  4. Step 4: Simplify right side
    198,651.50x = 21,591,210,286.01
  5. Step 5: Solve for x
    x = 21,591,210,286.01/198,651.50
  6. Step 6: Final answer
    x = 108,688.89

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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.