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Finding the Fourth Proportional to 239,584.32, 330,644.16 and 138,997.44

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Solution

The fourth proportional to 239,584.32, 330,644.16 and 138,997.44 is: 191,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,584.32 : 330,644.16 = 138,997.44 : x
  2. Step 2: Convert to fraction form
    239,584.32/330,644.16 = 138,997.44/x
  3. Step 3: Cross multiply
    239,584.32x = 330,644.16 × 138,997.44
  4. Step 4: Simplify right side
    239,584.32x = 45,958,691,790.95
  5. Step 5: Solve for x
    x = 45,958,691,790.95/239,584.32
  6. Step 6: Final answer
    x = 191,826.79

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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.