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Finding the Fourth Proportional to 256,006.92, 383,996 and 78,513.44

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Solution

The fourth proportional to 256,006.92, 383,996 and 78,513.44 is: 117,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.92 : 383,996 = 78,513.44 : x
  2. Step 2: Convert to fraction form
    256,006.92/383,996 = 78,513.44/x
  3. Step 3: Cross multiply
    256,006.92x = 383,996 × 78,513.44
  4. Step 4: Simplify right side
    256,006.92x = 30,148,846,906.24
  5. Step 5: Solve for x
    x = 30,148,846,906.24/256,006.92
  6. Step 6: Final answer
    x = 117,765.75

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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.