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Finding the Fourth Proportional to 33,147, 45,742.95 and 18,243

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Solution

The fourth proportional to 33,147, 45,742.95 and 18,243 is: 25,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147 : 45,742.95 = 18,243 : x
  2. Step 2: Convert to fraction form
    33,147/45,742.95 = 18,243/x
  3. Step 3: Cross multiply
    33,147x = 45,742.95 × 18,243
  4. Step 4: Simplify right side
    33,147x = 834,488,636.85
  5. Step 5: Solve for x
    x = 834,488,636.85/33,147
  6. Step 6: Final answer
    x = 25,175.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.