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Finding the Fourth Proportional to 138,825.82, 208,238.72 and 33,644.78

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Solution

The fourth proportional to 138,825.82, 208,238.72 and 33,644.78 is: 50,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,825.82 : 208,238.72 = 33,644.78 : x
  2. Step 2: Convert to fraction form
    138,825.82/208,238.72 = 33,644.78/x
  3. Step 3: Cross multiply
    138,825.82x = 208,238.72 × 33,644.78
  4. Step 4: Simplify right side
    138,825.82x = 7,006,146,901.27
  5. Step 5: Solve for x
    x = 7,006,146,901.27/138,825.82
  6. Step 6: Final answer
    x = 50,467.18

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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.