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Finding the Fourth Proportional to 256,778.82, 385,092.97 and 96,739.29

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Solution

The fourth proportional to 256,778.82, 385,092.97 and 96,739.29 is: 145,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,778.82 : 385,092.97 = 96,739.29 : x
  2. Step 2: Convert to fraction form
    256,778.82/385,092.97 = 96,739.29/x
  3. Step 3: Cross multiply
    256,778.82x = 385,092.97 × 96,739.29
  4. Step 4: Simplify right side
    256,778.82x = 37,253,618,576.33
  5. Step 5: Solve for x
    x = 37,253,618,576.33/256,778.82
  6. Step 6: Final answer
    x = 145,080.57

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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.