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Finding the Fourth Proportional to 203,859.41, 305,667.97 and 77,508.90

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Solution

The fourth proportional to 203,859.41, 305,667.97 and 77,508.90 is: 116,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,859.41 : 305,667.97 = 77,508.90 : x
  2. Step 2: Convert to fraction form
    203,859.41/305,667.97 = 77,508.90/x
  3. Step 3: Cross multiply
    203,859.41x = 305,667.97 × 77,508.90
  4. Step 4: Simplify right side
    203,859.41x = 23,691,988,119.93
  5. Step 5: Solve for x
    x = 23,691,988,119.93/203,859.41
  6. Step 6: Final answer
    x = 116,217.29

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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.