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Finding the Fourth Proportional to 218,640.80, 327,961.20 and 78,413.60

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Solution

The fourth proportional to 218,640.80, 327,961.20 and 78,413.60 is: 117,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,640.80 : 327,961.20 = 78,413.60 : x
  2. Step 2: Convert to fraction form
    218,640.80/327,961.20 = 78,413.60/x
  3. Step 3: Cross multiply
    218,640.80x = 327,961.20 × 78,413.60
  4. Step 4: Simplify right side
    218,640.80x = 25,716,618,352.32
  5. Step 5: Solve for x
    x = 25,716,618,352.32/218,640.80
  6. Step 6: Final answer
    x = 117,620.40

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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.