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Finding the Fourth Proportional to 258,896.44, 387,819.78 and 133,975

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Solution

The fourth proportional to 258,896.44, 387,819.78 and 133,975 is: 200,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,896.44 : 387,819.78 = 133,975 : x
  2. Step 2: Convert to fraction form
    258,896.44/387,819.78 = 133,975/x
  3. Step 3: Cross multiply
    258,896.44x = 387,819.78 × 133,975
  4. Step 4: Simplify right side
    258,896.44x = 51,958,155,025.50
  5. Step 5: Solve for x
    x = 51,958,155,025.50/258,896.44
  6. Step 6: Final answer
    x = 200,690.88

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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.