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Finding the Fourth Proportional to 202,413.43, 303,621.18 and 84,084.90

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Solution

The fourth proportional to 202,413.43, 303,621.18 and 84,084.90 is: 126,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413.43 : 303,621.18 = 84,084.90 : x
  2. Step 2: Convert to fraction form
    202,413.43/303,621.18 = 84,084.90/x
  3. Step 3: Cross multiply
    202,413.43x = 303,621.18 × 84,084.90
  4. Step 4: Simplify right side
    202,413.43x = 25,529,956,558.18
  5. Step 5: Solve for x
    x = 25,529,956,558.18/202,413.43
  6. Step 6: Final answer
    x = 126,127.78

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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.