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Finding the Fourth Proportional to 138,196.75, 207,163.91 and 54,010.92

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Solution

The fourth proportional to 138,196.75, 207,163.91 and 54,010.92 is: 80,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.75 : 207,163.91 = 54,010.92 : x
  2. Step 2: Convert to fraction form
    138,196.75/207,163.91 = 54,010.92/x
  3. Step 3: Cross multiply
    138,196.75x = 207,163.91 × 54,010.92
  4. Step 4: Simplify right side
    138,196.75x = 11,189,113,369.90
  5. Step 5: Solve for x
    x = 11,189,113,369.90/138,196.75
  6. Step 6: Final answer
    x = 80,965.10

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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.