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Finding the Fourth Proportional to 141,951.36, 195,889.92 and 78,294.96

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Solution

The fourth proportional to 141,951.36, 195,889.92 and 78,294.96 is: 108,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,951.36 : 195,889.92 = 78,294.96 : x
  2. Step 2: Convert to fraction form
    141,951.36/195,889.92 = 78,294.96/x
  3. Step 3: Cross multiply
    141,951.36x = 195,889.92 × 78,294.96
  4. Step 4: Simplify right side
    141,951.36x = 15,337,193,450.80
  5. Step 5: Solve for x
    x = 15,337,193,450.80/141,951.36
  6. Step 6: Final answer
    x = 108,045.41

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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.