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Finding the Fourth Proportional to 57,872, 86,808 and 14,096

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Solution

The fourth proportional to 57,872, 86,808 and 14,096 is: 21,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872 : 86,808 = 14,096 : x
  2. Step 2: Convert to fraction form
    57,872/86,808 = 14,096/x
  3. Step 3: Cross multiply
    57,872x = 86,808 × 14,096
  4. Step 4: Simplify right side
    57,872x = 1,223,645,568
  5. Step 5: Solve for x
    x = 1,223,645,568/57,872
  6. Step 6: Final answer
    x = 21,144

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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.