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Finding the Fourth Proportional to 256,142.66, 384,179.96 and 76,224.85

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Solution

The fourth proportional to 256,142.66, 384,179.96 and 76,224.85 is: 114,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,142.66 : 384,179.96 = 76,224.85 : x
  2. Step 2: Convert to fraction form
    256,142.66/384,179.96 = 76,224.85/x
  3. Step 3: Cross multiply
    256,142.66x = 384,179.96 × 76,224.85
  4. Step 4: Simplify right side
    256,142.66x = 29,284,059,054.12
  5. Step 5: Solve for x
    x = 29,284,059,054.12/256,142.66
  6. Step 6: Final answer
    x = 114,327.15

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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.