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Finding the Fourth Proportional to 202,604.82, 303,920.20 and 77,945.82

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Solution

The fourth proportional to 202,604.82, 303,920.20 and 77,945.82 is: 116,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,604.82 : 303,920.20 = 77,945.82 : x
  2. Step 2: Convert to fraction form
    202,604.82/303,920.20 = 77,945.82/x
  3. Step 3: Cross multiply
    202,604.82x = 303,920.20 × 77,945.82
  4. Step 4: Simplify right side
    202,604.82x = 23,689,309,203.56
  5. Step 5: Solve for x
    x = 23,689,309,203.56/202,604.82
  6. Step 6: Final answer
    x = 116,923.72

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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.