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Finding the Fourth Proportional to 220,344, 304,074.72 and 119,742

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Solution

The fourth proportional to 220,344, 304,074.72 and 119,742 is: 165,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,344 : 304,074.72 = 119,742 : x
  2. Step 2: Convert to fraction form
    220,344/304,074.72 = 119,742/x
  3. Step 3: Cross multiply
    220,344x = 304,074.72 × 119,742
  4. Step 4: Simplify right side
    220,344x = 36,410,515,122.24
  5. Step 5: Solve for x
    x = 36,410,515,122.24/220,344
  6. Step 6: Final answer
    x = 165,243.96

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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.