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Finding the Fourth Proportional to 108,138, 162,214.36 and 33,253.52

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Solution

The fourth proportional to 108,138, 162,214.36 and 33,253.52 is: 49,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,138 : 162,214.36 = 33,253.52 : x
  2. Step 2: Convert to fraction form
    108,138/162,214.36 = 33,253.52/x
  3. Step 3: Cross multiply
    108,138x = 162,214.36 × 33,253.52
  4. Step 4: Simplify right side
    108,138x = 5,394,198,464.55
  5. Step 5: Solve for x
    x = 5,394,198,464.55/108,138
  6. Step 6: Final answer
    x = 49,882.54

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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.