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Finding the Fourth Proportional to 141,863.79, 195,771.98 and 78,202.65

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Solution

The fourth proportional to 141,863.79, 195,771.98 and 78,202.65 is: 107,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,863.79 : 195,771.98 = 78,202.65 : x
  2. Step 2: Convert to fraction form
    141,863.79/195,771.98 = 78,202.65/x
  3. Step 3: Cross multiply
    141,863.79x = 195,771.98 × 78,202.65
  4. Step 4: Simplify right side
    141,863.79x = 15,309,887,240.73
  5. Step 5: Solve for x
    x = 15,309,887,240.73/141,863.79
  6. Step 6: Final answer
    x = 107,919.63

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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.