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Finding the Fourth Proportional to 143,856, 198,519.12 and 80,197.56

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Solution

The fourth proportional to 143,856, 198,519.12 and 80,197.56 is: 110,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,856 : 198,519.12 = 80,197.56 : x
  2. Step 2: Convert to fraction form
    143,856/198,519.12 = 80,197.56/x
  3. Step 3: Cross multiply
    143,856x = 198,519.12 × 80,197.56
  4. Step 4: Simplify right side
    143,856x = 15,920,749,037.35
  5. Step 5: Solve for x
    x = 15,920,749,037.35/143,856
  6. Step 6: Final answer
    x = 110,671.43

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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.