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Finding the Fourth Proportional to 256,511.72, 384,767.04 and 66,971.36

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Solution

The fourth proportional to 256,511.72, 384,767.04 and 66,971.36 is: 100,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,511.72 : 384,767.04 = 66,971.36 : x
  2. Step 2: Convert to fraction form
    256,511.72/384,767.04 = 66,971.36/x
  3. Step 3: Cross multiply
    256,511.72x = 384,767.04 × 66,971.36
  4. Step 4: Simplify right side
    256,511.72x = 25,768,371,951.97
  5. Step 5: Solve for x
    x = 25,768,371,951.97/256,511.72
  6. Step 6: Final answer
    x = 100,456.90

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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.