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Finding the Fourth Proportional to 89,721, 123,815 and 49,977

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Solution

The fourth proportional to 89,721, 123,815 and 49,977 is: 68,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,721 : 123,815 = 49,977 : x
  2. Step 2: Convert to fraction form
    89,721/123,815 = 49,977/x
  3. Step 3: Cross multiply
    89,721x = 123,815 × 49,977
  4. Step 4: Simplify right side
    89,721x = 6,187,902,255
  5. Step 5: Solve for x
    x = 6,187,902,255/89,721
  6. Step 6: Final answer
    x = 68,968.27

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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.