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Finding the Fourth Proportional to 143,855.52, 198,520.68 and 80,191.98

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Solution

The fourth proportional to 143,855.52, 198,520.68 and 80,191.98 is: 110,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,855.52 : 198,520.68 = 80,191.98 : x
  2. Step 2: Convert to fraction form
    143,855.52/198,520.68 = 80,191.98/x
  3. Step 3: Cross multiply
    143,855.52x = 198,520.68 × 80,191.98
  4. Step 4: Simplify right side
    143,855.52x = 15,919,766,400.15
  5. Step 5: Solve for x
    x = 15,919,766,400.15/143,855.52
  6. Step 6: Final answer
    x = 110,664.97

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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.