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Finding the Fourth Proportional to 49,137, 67,809 and 26,781

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Solution

The fourth proportional to 49,137, 67,809 and 26,781 is: 36,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,137 : 67,809 = 26,781 : x
  2. Step 2: Convert to fraction form
    49,137/67,809 = 26,781/x
  3. Step 3: Cross multiply
    49,137x = 67,809 × 26,781
  4. Step 4: Simplify right side
    49,137x = 1,815,992,829
  5. Step 5: Solve for x
    x = 1,815,992,829/49,137
  6. Step 6: Final answer
    x = 36,957.75

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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.