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Finding the Fourth Proportional to 138,917.08, 208,251.84 and 50,150.82

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Solution

The fourth proportional to 138,917.08, 208,251.84 and 50,150.82 is: 75,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,917.08 : 208,251.84 = 50,150.82 : x
  2. Step 2: Convert to fraction form
    138,917.08/208,251.84 = 50,150.82/x
  3. Step 3: Cross multiply
    138,917.08x = 208,251.84 × 50,150.82
  4. Step 4: Simplify right side
    138,917.08x = 10,444,000,542.51
  5. Step 5: Solve for x
    x = 10,444,000,542.51/138,917.08
  6. Step 6: Final answer
    x = 75,181.55

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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.