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Finding the Fourth Proportional to 138,215.82, 207,192.37 and 54,029.96

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Solution

The fourth proportional to 138,215.82, 207,192.37 and 54,029.96 is: 80,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,215.82 : 207,192.37 = 54,029.96 : x
  2. Step 2: Convert to fraction form
    138,215.82/207,192.37 = 54,029.96/x
  3. Step 3: Cross multiply
    138,215.82x = 207,192.37 × 54,029.96
  4. Step 4: Simplify right side
    138,215.82x = 11,194,595,463.41
  5. Step 5: Solve for x
    x = 11,194,595,463.41/138,215.82
  6. Step 6: Final answer
    x = 80,993.59

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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.