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Finding the Fourth Proportional to 80,942.40, 121,413.60 and 49,449.60

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Solution

The fourth proportional to 80,942.40, 121,413.60 and 49,449.60 is: 74,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,942.40 : 121,413.60 = 49,449.60 : x
  2. Step 2: Convert to fraction form
    80,942.40/121,413.60 = 49,449.60/x
  3. Step 3: Cross multiply
    80,942.40x = 121,413.60 × 49,449.60
  4. Step 4: Simplify right side
    80,942.40x = 6,003,853,954.56
  5. Step 5: Solve for x
    x = 6,003,853,954.56/80,942.40
  6. Step 6: Final answer
    x = 74,174.40

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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.