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Finding the Fourth Proportional to 203,616.33, 305,112.78 and 85,223.22

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Solution

The fourth proportional to 203,616.33, 305,112.78 and 85,223.22 is: 127,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616.33 : 305,112.78 = 85,223.22 : x
  2. Step 2: Convert to fraction form
    203,616.33/305,112.78 = 85,223.22/x
  3. Step 3: Cross multiply
    203,616.33x = 305,112.78 × 85,223.22
  4. Step 4: Simplify right side
    203,616.33x = 26,002,693,574.75
  5. Step 5: Solve for x
    x = 26,002,693,574.75/203,616.33
  6. Step 6: Final answer
    x = 127,704.36

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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.