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Finding the Fourth Proportional to 89,673, 123,757.38 and 49,929

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Solution

The fourth proportional to 89,673, 123,757.38 and 49,929 is: 68,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,673 : 123,757.38 = 49,929 : x
  2. Step 2: Convert to fraction form
    89,673/123,757.38 = 49,929/x
  3. Step 3: Cross multiply
    89,673x = 123,757.38 × 49,929
  4. Step 4: Simplify right side
    89,673x = 6,179,082,226.02
  5. Step 5: Solve for x
    x = 6,179,082,226.02/89,673
  6. Step 6: Final answer
    x = 68,906.83

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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.