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Finding the Fourth Proportional to 68,658.16, 102,991.92 and 21,914.56

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Solution

The fourth proportional to 68,658.16, 102,991.92 and 21,914.56 is: 32,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658.16 : 102,991.92 = 21,914.56 : x
  2. Step 2: Convert to fraction form
    68,658.16/102,991.92 = 21,914.56/x
  3. Step 3: Cross multiply
    68,658.16x = 102,991.92 × 21,914.56
  4. Step 4: Simplify right side
    68,658.16x = 2,257,022,610.36
  5. Step 5: Solve for x
    x = 2,257,022,610.36/68,658.16
  6. Step 6: Final answer
    x = 32,873.33

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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.