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Finding the Fourth Proportional to 138,362.96, 207,628.44 and 55,250

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Solution

The fourth proportional to 138,362.96, 207,628.44 and 55,250 is: 82,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,362.96 : 207,628.44 = 55,250 : x
  2. Step 2: Convert to fraction form
    138,362.96/207,628.44 = 55,250/x
  3. Step 3: Cross multiply
    138,362.96x = 207,628.44 × 55,250
  4. Step 4: Simplify right side
    138,362.96x = 11,471,471,310
  5. Step 5: Solve for x
    x = 11,471,471,310/138,362.96
  6. Step 6: Final answer
    x = 82,908.54

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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.