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Finding the Fourth Proportional to 141,993.94, 195,948.48 and 78,331.72

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Solution

The fourth proportional to 141,993.94, 195,948.48 and 78,331.72 is: 108,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,993.94 : 195,948.48 = 78,331.72 : x
  2. Step 2: Convert to fraction form
    141,993.94/195,948.48 = 78,331.72/x
  3. Step 3: Cross multiply
    141,993.94x = 195,948.48 × 78,331.72
  4. Step 4: Simplify right side
    141,993.94x = 15,348,981,469.79
  5. Step 5: Solve for x
    x = 15,348,981,469.79/141,993.94
  6. Step 6: Final answer
    x = 108,096.03

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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.