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Finding the Fourth Proportional to 256,126.20, 384,246.90 and 78,641.40

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Solution

The fourth proportional to 256,126.20, 384,246.90 and 78,641.40 is: 117,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,126.20 : 384,246.90 = 78,641.40 : x
  2. Step 2: Convert to fraction form
    256,126.20/384,246.90 = 78,641.40/x
  3. Step 3: Cross multiply
    256,126.20x = 384,246.90 × 78,641.40
  4. Step 4: Simplify right side
    256,126.20x = 30,217,714,161.66
  5. Step 5: Solve for x
    x = 30,217,714,161.66/256,126.20
  6. Step 6: Final answer
    x = 117,979.79

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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.