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Finding the Fourth Proportional to 189,082.80, 283,624.20 and 135,938.70

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Solution

The fourth proportional to 189,082.80, 283,624.20 and 135,938.70 is: 203,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,082.80 : 283,624.20 = 135,938.70 : x
  2. Step 2: Convert to fraction form
    189,082.80/283,624.20 = 135,938.70/x
  3. Step 3: Cross multiply
    189,082.80x = 283,624.20 × 135,938.70
  4. Step 4: Simplify right side
    189,082.80x = 38,555,505,036.54
  5. Step 5: Solve for x
    x = 38,555,505,036.54/189,082.80
  6. Step 6: Final answer
    x = 203,908.05

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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.