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Finding the Fourth Proportional to 68,679.24, 102,996.54 and 21,921

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Solution

The fourth proportional to 68,679.24, 102,996.54 and 21,921 is: 32,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,679.24 : 102,996.54 = 21,921 : x
  2. Step 2: Convert to fraction form
    68,679.24/102,996.54 = 21,921/x
  3. Step 3: Cross multiply
    68,679.24x = 102,996.54 × 21,921
  4. Step 4: Simplify right side
    68,679.24x = 2,257,787,153.34
  5. Step 5: Solve for x
    x = 2,257,787,153.34/68,679.24
  6. Step 6: Final answer
    x = 32,874.38

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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.