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Finding the Fourth Proportional to 138,503.56, 207,755.34 and 33,322.53

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Solution

The fourth proportional to 138,503.56, 207,755.34 and 33,322.53 is: 49,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,503.56 : 207,755.34 = 33,322.53 : x
  2. Step 2: Convert to fraction form
    138,503.56/207,755.34 = 33,322.53/x
  3. Step 3: Cross multiply
    138,503.56x = 207,755.34 × 33,322.53
  4. Step 4: Simplify right side
    138,503.56x = 6,922,933,633.12
  5. Step 5: Solve for x
    x = 6,922,933,633.12/138,503.56
  6. Step 6: Final answer
    x = 49,983.79

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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.