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Finding the Fourth Proportional to 138,997.67, 208,353.24 and 54,723.65

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Solution

The fourth proportional to 138,997.67, 208,353.24 and 54,723.65 is: 82,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,997.67 : 208,353.24 = 54,723.65 : x
  2. Step 2: Convert to fraction form
    138,997.67/208,353.24 = 54,723.65/x
  3. Step 3: Cross multiply
    138,997.67x = 208,353.24 × 54,723.65
  4. Step 4: Simplify right side
    138,997.67x = 11,401,848,740.36
  5. Step 5: Solve for x
    x = 11,401,848,740.36/138,997.67
  6. Step 6: Final answer
    x = 82,029.07

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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.