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Finding the Fourth Proportional to 143,781.57, 198,415.89 and 78,370.94

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Solution

The fourth proportional to 143,781.57, 198,415.89 and 78,370.94 is: 108,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,781.57 : 198,415.89 = 78,370.94 : x
  2. Step 2: Convert to fraction form
    143,781.57/198,415.89 = 78,370.94/x
  3. Step 3: Cross multiply
    143,781.57x = 198,415.89 × 78,370.94
  4. Step 4: Simplify right side
    143,781.57x = 15,550,040,306.28
  5. Step 5: Solve for x
    x = 15,550,040,306.28/143,781.57
  6. Step 6: Final answer
    x = 108,150.44

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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.