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Finding the Fourth Proportional to 138,657.56, 207,986.34 and 45,163.30

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Solution

The fourth proportional to 138,657.56, 207,986.34 and 45,163.30 is: 67,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,657.56 : 207,986.34 = 45,163.30 : x
  2. Step 2: Convert to fraction form
    138,657.56/207,986.34 = 45,163.30/x
  3. Step 3: Cross multiply
    138,657.56x = 207,986.34 × 45,163.30
  4. Step 4: Simplify right side
    138,657.56x = 9,393,349,469.32
  5. Step 5: Solve for x
    x = 9,393,349,469.32/138,657.56
  6. Step 6: Final answer
    x = 67,744.95

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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.