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Finding the Fourth Proportional to 256,134, 384,231.68 and 78,617.76

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Solution

The fourth proportional to 256,134, 384,231.68 and 78,617.76 is: 117,936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,134 : 384,231.68 = 78,617.76 : x
  2. Step 2: Convert to fraction form
    256,134/384,231.68 = 78,617.76/x
  3. Step 3: Cross multiply
    256,134x = 384,231.68 × 78,617.76
  4. Step 4: Simplify right side
    256,134x = 30,207,434,002.64
  5. Step 5: Solve for x
    x = 30,207,434,002.64/256,134
  6. Step 6: Final answer
    x = 117,936.06

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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.