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Finding the Fourth Proportional to 220,806, 304,713 and 120,204.72

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Solution

The fourth proportional to 220,806, 304,713 and 120,204.72 is: 165,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,806 : 304,713 = 120,204.72 : x
  2. Step 2: Convert to fraction form
    220,806/304,713 = 120,204.72/x
  3. Step 3: Cross multiply
    220,806x = 304,713 × 120,204.72
  4. Step 4: Simplify right side
    220,806x = 36,627,940,845.36
  5. Step 5: Solve for x
    x = 36,627,940,845.36/220,806
  6. Step 6: Final answer
    x = 165,882.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.