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Finding the Fourth Proportional to 256,211.82, 384,367.14 and 78,687.36

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Solution

The fourth proportional to 256,211.82, 384,367.14 and 78,687.36 is: 118,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,211.82 : 384,367.14 = 78,687.36 : x
  2. Step 2: Convert to fraction form
    256,211.82/384,367.14 = 78,687.36/x
  3. Step 3: Cross multiply
    256,211.82x = 384,367.14 × 78,687.36
  4. Step 4: Simplify right side
    256,211.82x = 30,244,835,517.35
  5. Step 5: Solve for x
    x = 30,244,835,517.35/256,211.82
  6. Step 6: Final answer
    x = 118,046.21

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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.