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Finding the Fourth Proportional to 123,198.32, 184,820.28 and 38,979.68

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Solution

The fourth proportional to 123,198.32, 184,820.28 and 38,979.68 is: 58,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,198.32 : 184,820.28 = 38,979.68 : x
  2. Step 2: Convert to fraction form
    123,198.32/184,820.28 = 38,979.68/x
  3. Step 3: Cross multiply
    123,198.32x = 184,820.28 × 38,979.68
  4. Step 4: Simplify right side
    123,198.32x = 7,204,234,447.81
  5. Step 5: Solve for x
    x = 7,204,234,447.81/123,198.32
  6. Step 6: Final answer
    x = 58,476.73

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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.