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Finding the Fourth Proportional to 70,344, 105,516 and 21,096

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Solution

The fourth proportional to 70,344, 105,516 and 21,096 is: 31,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,344 : 105,516 = 21,096 : x
  2. Step 2: Convert to fraction form
    70,344/105,516 = 21,096/x
  3. Step 3: Cross multiply
    70,344x = 105,516 × 21,096
  4. Step 4: Simplify right side
    70,344x = 2,225,965,536
  5. Step 5: Solve for x
    x = 2,225,965,536/70,344
  6. Step 6: Final answer
    x = 31,644

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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.