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Finding the Fourth Proportional to 72,917.31, 109,378.32 and 22,997.88

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Solution

The fourth proportional to 72,917.31, 109,378.32 and 22,997.88 is: 34,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,917.31 : 109,378.32 = 22,997.88 : x
  2. Step 2: Convert to fraction form
    72,917.31/109,378.32 = 22,997.88/x
  3. Step 3: Cross multiply
    72,917.31x = 109,378.32 × 22,997.88
  4. Step 4: Simplify right side
    72,917.31x = 2,515,469,477.96
  5. Step 5: Solve for x
    x = 2,515,469,477.96/72,917.31
  6. Step 6: Final answer
    x = 34,497.56

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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.