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Finding the Fourth Proportional to 138,212.82, 207,187.88 and 54,026.96

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Solution

The fourth proportional to 138,212.82, 207,187.88 and 54,026.96 is: 80,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,212.82 : 207,187.88 = 54,026.96 : x
  2. Step 2: Convert to fraction form
    138,212.82/207,187.88 = 54,026.96/x
  3. Step 3: Cross multiply
    138,212.82x = 207,187.88 × 54,026.96
  4. Step 4: Simplify right side
    138,212.82x = 11,193,729,999.17
  5. Step 5: Solve for x
    x = 11,193,729,999.17/138,212.82
  6. Step 6: Final answer
    x = 80,989.09

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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.