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Finding the Fourth Proportional to 220,906, 331,359 and 54,694

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Solution

The fourth proportional to 220,906, 331,359 and 54,694 is: 82,041

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,906 : 331,359 = 54,694 : x
  2. Step 2: Convert to fraction form
    220,906/331,359 = 54,694/x
  3. Step 3: Cross multiply
    220,906x = 331,359 × 54,694
  4. Step 4: Simplify right side
    220,906x = 18,123,349,146
  5. Step 5: Solve for x
    x = 18,123,349,146/220,906
  6. Step 6: Final answer
    x = 82,041

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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.