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Finding the Fourth Proportional to 138,638, 208,049.16 and 51,086

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Solution

The fourth proportional to 138,638, 208,049.16 and 51,086 is: 76,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638 : 208,049.16 = 51,086 : x
  2. Step 2: Convert to fraction form
    138,638/208,049.16 = 51,086/x
  3. Step 3: Cross multiply
    138,638x = 208,049.16 × 51,086
  4. Step 4: Simplify right side
    138,638x = 10,628,399,387.76
  5. Step 5: Solve for x
    x = 10,628,399,387.76/138,638
  6. Step 6: Final answer
    x = 76,662.96

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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.