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Finding the Fourth Proportional to 198,651, 298,163.76 and 72,413.25

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Solution

The fourth proportional to 198,651, 298,163.76 and 72,413.25 is: 108,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,651 : 298,163.76 = 72,413.25 : x
  2. Step 2: Convert to fraction form
    198,651/298,163.76 = 72,413.25/x
  3. Step 3: Cross multiply
    198,651x = 298,163.76 × 72,413.25
  4. Step 4: Simplify right side
    198,651x = 21,591,006,893.82
  5. Step 5: Solve for x
    x = 21,591,006,893.82/198,651
  6. Step 6: Final answer
    x = 108,688.14

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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.