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Finding the Fourth Proportional to 143,147.97, 214,722 and 54,380.52

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Solution

The fourth proportional to 143,147.97, 214,722 and 54,380.52 is: 81,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,147.97 : 214,722 = 54,380.52 : x
  2. Step 2: Convert to fraction form
    143,147.97/214,722 = 54,380.52/x
  3. Step 3: Cross multiply
    143,147.97x = 214,722 × 54,380.52
  4. Step 4: Simplify right side
    143,147.97x = 11,676,694,015.44
  5. Step 5: Solve for x
    x = 11,676,694,015.44/143,147.97
  6. Step 6: Final answer
    x = 81,570.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.