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Finding the Fourth Proportional to 135,881, 203,599.53 and 82,589.28

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Solution

The fourth proportional to 135,881, 203,599.53 and 82,589.28 is: 123,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,881 : 203,599.53 = 82,589.28 : x
  2. Step 2: Convert to fraction form
    135,881/203,599.53 = 82,589.28/x
  3. Step 3: Cross multiply
    135,881x = 203,599.53 × 82,589.28
  4. Step 4: Simplify right side
    135,881x = 16,815,138,591.04
  5. Step 5: Solve for x
    x = 16,815,138,591.04/135,881
  6. Step 6: Final answer
    x = 123,749.01

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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.