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Finding the Fourth Proportional to 198,122, 273,413.16 and 108,698

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Solution

The fourth proportional to 198,122, 273,413.16 and 108,698 is: 150,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,122 : 273,413.16 = 108,698 : x
  2. Step 2: Convert to fraction form
    198,122/273,413.16 = 108,698/x
  3. Step 3: Cross multiply
    198,122x = 273,413.16 × 108,698
  4. Step 4: Simplify right side
    198,122x = 29,719,463,665.68
  5. Step 5: Solve for x
    x = 29,719,463,665.68/198,122
  6. Step 6: Final answer
    x = 150,005.87

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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.