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Finding the Fourth Proportional to 138,833.57, 208,249.66 and 33,652.54

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Solution

The fourth proportional to 138,833.57, 208,249.66 and 33,652.54 is: 50,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,833.57 : 208,249.66 = 33,652.54 : x
  2. Step 2: Convert to fraction form
    138,833.57/208,249.66 = 33,652.54/x
  3. Step 3: Cross multiply
    138,833.57x = 208,249.66 × 33,652.54
  4. Step 4: Simplify right side
    138,833.57x = 7,008,128,971.89
  5. Step 5: Solve for x
    x = 7,008,128,971.89/138,833.57
  6. Step 6: Final answer
    x = 50,478.64

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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.