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Finding the Fourth Proportional to 141,873.78, 195,787.13 and 78,213.86

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Solution

The fourth proportional to 141,873.78, 195,787.13 and 78,213.86 is: 107,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,873.78 : 195,787.13 = 78,213.86 : x
  2. Step 2: Convert to fraction form
    141,873.78/195,787.13 = 78,213.86/x
  3. Step 3: Cross multiply
    141,873.78x = 195,787.13 × 78,213.86
  4. Step 4: Simplify right side
    141,873.78x = 15,313,267,175.62
  5. Step 5: Solve for x
    x = 15,313,267,175.62/141,873.78
  6. Step 6: Final answer
    x = 107,935.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.