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Finding the Fourth Proportional to 138,930.54, 208,394.18 and 33,749.61

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Solution

The fourth proportional to 138,930.54, 208,394.18 and 33,749.61 is: 50,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,930.54 : 208,394.18 = 33,749.61 : x
  2. Step 2: Convert to fraction form
    138,930.54/208,394.18 = 33,749.61/x
  3. Step 3: Cross multiply
    138,930.54x = 208,394.18 × 33,749.61
  4. Step 4: Simplify right side
    138,930.54x = 7,033,222,132.52
  5. Step 5: Solve for x
    x = 7,033,222,132.52/138,930.54
  6. Step 6: Final answer
    x = 50,624.02

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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.