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Finding the Fourth Proportional to 187,204, 280,806 and 55,876

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Solution

The fourth proportional to 187,204, 280,806 and 55,876 is: 83,814

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,204 : 280,806 = 55,876 : x
  2. Step 2: Convert to fraction form
    187,204/280,806 = 55,876/x
  3. Step 3: Cross multiply
    187,204x = 280,806 × 55,876
  4. Step 4: Simplify right side
    187,204x = 15,690,316,056
  5. Step 5: Solve for x
    x = 15,690,316,056/187,204
  6. Step 6: Final answer
    x = 83,814

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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.