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Finding the Fourth Proportional to 81,997, 122,896.68 and 34,593.76

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Solution

The fourth proportional to 81,997, 122,896.68 and 34,593.76 is: 51,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,997 : 122,896.68 = 34,593.76 : x
  2. Step 2: Convert to fraction form
    81,997/122,896.68 = 34,593.76/x
  3. Step 3: Cross multiply
    81,997x = 122,896.68 × 34,593.76
  4. Step 4: Simplify right side
    81,997x = 4,251,458,252.72
  5. Step 5: Solve for x
    x = 4,251,458,252.72/81,997
  6. Step 6: Final answer
    x = 51,848.95

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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.