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Finding the Fourth Proportional to 80,413.90, 120,621.16 and 33,633.96

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Solution

The fourth proportional to 80,413.90, 120,621.16 and 33,633.96 is: 50,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,413.90 : 120,621.16 = 33,633.96 : x
  2. Step 2: Convert to fraction form
    80,413.90/120,621.16 = 33,633.96/x
  3. Step 3: Cross multiply
    80,413.90x = 120,621.16 × 33,633.96
  4. Step 4: Simplify right side
    80,413.90x = 4,056,967,270.59
  5. Step 5: Solve for x
    x = 4,056,967,270.59/80,413.90
  6. Step 6: Final answer
    x = 50,451.07

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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.