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Finding the Fourth Proportional to 219,138, 328,732.92 and 71,394

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Solution

The fourth proportional to 219,138, 328,732.92 and 71,394 is: 107,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,138 : 328,732.92 = 71,394 : x
  2. Step 2: Convert to fraction form
    219,138/328,732.92 = 71,394/x
  3. Step 3: Cross multiply
    219,138x = 328,732.92 × 71,394
  4. Step 4: Simplify right side
    219,138x = 23,469,558,090.48
  5. Step 5: Solve for x
    x = 23,469,558,090.48/219,138
  6. Step 6: Final answer
    x = 107,099.44

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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.