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Finding the Fourth Proportional to 221,086.36, 331,629.54 and 54,874.36

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Solution

The fourth proportional to 221,086.36, 331,629.54 and 54,874.36 is: 82,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,086.36 : 331,629.54 = 54,874.36 : x
  2. Step 2: Convert to fraction form
    221,086.36/331,629.54 = 54,874.36/x
  3. Step 3: Cross multiply
    221,086.36x = 331,629.54 × 54,874.36
  4. Step 4: Simplify right side
    221,086.36x = 18,197,958,764.59
  5. Step 5: Solve for x
    x = 18,197,958,764.59/221,086.36
  6. Step 6: Final answer
    x = 82,311.54

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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.