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Finding the Fourth Proportional to 55,229, 82,843.50 and 13,676

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Solution

The fourth proportional to 55,229, 82,843.50 and 13,676 is: 20,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,229 : 82,843.50 = 13,676 : x
  2. Step 2: Convert to fraction form
    55,229/82,843.50 = 13,676/x
  3. Step 3: Cross multiply
    55,229x = 82,843.50 × 13,676
  4. Step 4: Simplify right side
    55,229x = 1,132,967,706
  5. Step 5: Solve for x
    x = 1,132,967,706/55,229
  6. Step 6: Final answer
    x = 20,514

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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.