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Finding the Fourth Proportional to 143,997, 198,715.32 and 80,331

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Solution

The fourth proportional to 143,997, 198,715.32 and 80,331 is: 110,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,997 : 198,715.32 = 80,331 : x
  2. Step 2: Convert to fraction form
    143,997/198,715.32 = 80,331/x
  3. Step 3: Cross multiply
    143,997x = 198,715.32 × 80,331
  4. Step 4: Simplify right side
    143,997x = 15,963,000,370.92
  5. Step 5: Solve for x
    x = 15,963,000,370.92/143,997
  6. Step 6: Final answer
    x = 110,856.48

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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.