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Finding the Fourth Proportional to 138,801.27, 208,201.69 and 33,619.93

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Solution

The fourth proportional to 138,801.27, 208,201.69 and 33,619.93 is: 50,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801.27 : 208,201.69 = 33,619.93 : x
  2. Step 2: Convert to fraction form
    138,801.27/208,201.69 = 33,619.93/x
  3. Step 3: Cross multiply
    138,801.27x = 208,201.69 × 33,619.93
  4. Step 4: Simplify right side
    138,801.27x = 6,999,726,243.68
  5. Step 5: Solve for x
    x = 6,999,726,243.68/138,801.27
  6. Step 6: Final answer
    x = 50,429.84

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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.