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Finding the Fourth Proportional to 202,105.35, 303,185.67 and 68,949.84

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Solution

The fourth proportional to 202,105.35, 303,185.67 and 68,949.84 is: 103,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,105.35 : 303,185.67 = 68,949.84 : x
  2. Step 2: Convert to fraction form
    202,105.35/303,185.67 = 68,949.84/x
  3. Step 3: Cross multiply
    202,105.35x = 303,185.67 × 68,949.84
  4. Step 4: Simplify right side
    202,105.35x = 20,904,603,436.79
  5. Step 5: Solve for x
    x = 20,904,603,436.79/202,105.35
  6. Step 6: Final answer
    x = 103,434.19

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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.