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Finding the Fourth Proportional to 203,386.38, 305,082.17 and 140,189.54

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Solution

The fourth proportional to 203,386.38, 305,082.17 and 140,189.54 is: 210,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,386.38 : 305,082.17 = 140,189.54 : x
  2. Step 2: Convert to fraction form
    203,386.38/305,082.17 = 140,189.54/x
  3. Step 3: Cross multiply
    203,386.38x = 305,082.17 × 140,189.54
  4. Step 4: Simplify right side
    203,386.38x = 42,769,329,074.50
  5. Step 5: Solve for x
    x = 42,769,329,074.50/203,386.38
  6. Step 6: Final answer
    x = 210,286.10

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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.