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Finding the Fourth Proportional to 203,865.97, 305,677.83 and 77,515.46

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Solution

The fourth proportional to 203,865.97, 305,677.83 and 77,515.46 is: 116,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,865.97 : 305,677.83 = 77,515.46 : x
  2. Step 2: Convert to fraction form
    203,865.97/305,677.83 = 77,515.46/x
  3. Step 3: Cross multiply
    203,865.97x = 305,677.83 × 77,515.46
  4. Step 4: Simplify right side
    203,865.97x = 23,694,757,604.25
  5. Step 5: Solve for x
    x = 23,694,757,604.25/203,865.97
  6. Step 6: Final answer
    x = 116,227.13

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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.