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Finding the Fourth Proportional to 138,828.82, 208,243.22 and 33,647.79

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Solution

The fourth proportional to 138,828.82, 208,243.22 and 33,647.79 is: 50,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,828.82 : 208,243.22 = 33,647.79 : x
  2. Step 2: Convert to fraction form
    138,828.82/208,243.22 = 33,647.79/x
  3. Step 3: Cross multiply
    138,828.82x = 208,243.22 × 33,647.79
  4. Step 4: Simplify right side
    138,828.82x = 7,006,923,094.27
  5. Step 5: Solve for x
    x = 7,006,923,094.27/138,828.82
  6. Step 6: Final answer
    x = 50,471.68

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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.