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Finding the Fourth Proportional to 68,282.92, 102,412.86 and 21,529

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Solution

The fourth proportional to 68,282.92, 102,412.86 and 21,529 is: 32,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282.92 : 102,412.86 = 21,529 : x
  2. Step 2: Convert to fraction form
    68,282.92/102,412.86 = 21,529/x
  3. Step 3: Cross multiply
    68,282.92x = 102,412.86 × 21,529
  4. Step 4: Simplify right side
    68,282.92x = 2,204,846,462.94
  5. Step 5: Solve for x
    x = 2,204,846,462.94/68,282.92
  6. Step 6: Final answer
    x = 32,289.87

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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.