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Finding the Fourth Proportional to 78,413.85, 117,625.29 and 22,249.57

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Solution

The fourth proportional to 78,413.85, 117,625.29 and 22,249.57 is: 33,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.85 : 117,625.29 = 22,249.57 : x
  2. Step 2: Convert to fraction form
    78,413.85/117,625.29 = 22,249.57/x
  3. Step 3: Cross multiply
    78,413.85x = 117,625.29 × 22,249.57
  4. Step 4: Simplify right side
    78,413.85x = 2,617,111,424.25
  5. Step 5: Solve for x
    x = 2,617,111,424.25/78,413.85
  6. Step 6: Final answer
    x = 33,375.63

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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.