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Finding the Fourth Proportional to 256,739.88, 385,105.04 and 76,825.42

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Solution

The fourth proportional to 256,739.88, 385,105.04 and 76,825.42 is: 115,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,739.88 : 385,105.04 = 76,825.42 : x
  2. Step 2: Convert to fraction form
    256,739.88/385,105.04 = 76,825.42/x
  3. Step 3: Cross multiply
    256,739.88x = 385,105.04 × 76,825.42
  4. Step 4: Simplify right side
    256,739.88x = 29,585,856,442.12
  5. Step 5: Solve for x
    x = 29,585,856,442.12/256,739.88
  6. Step 6: Final answer
    x = 115,236.70

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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.