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Finding the Fourth Proportional to 222,240, 306,691.20 and 121,638

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Solution

The fourth proportional to 222,240, 306,691.20 and 121,638 is: 167,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,240 : 306,691.20 = 121,638 : x
  2. Step 2: Convert to fraction form
    222,240/306,691.20 = 121,638/x
  3. Step 3: Cross multiply
    222,240x = 306,691.20 × 121,638
  4. Step 4: Simplify right side
    222,240x = 37,305,304,185.60
  5. Step 5: Solve for x
    x = 37,305,304,185.60/222,240
  6. Step 6: Final answer
    x = 167,860.44

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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.