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Finding the Fourth Proportional to 133,581.14, 200,309.41 and 77,437.30

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Solution

The fourth proportional to 133,581.14, 200,309.41 and 77,437.30 is: 116,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,581.14 : 200,309.41 = 77,437.30 : x
  2. Step 2: Convert to fraction form
    133,581.14/200,309.41 = 77,437.30/x
  3. Step 3: Cross multiply
    133,581.14x = 200,309.41 × 77,437.30
  4. Step 4: Simplify right side
    133,581.14x = 15,511,419,874.99
  5. Step 5: Solve for x
    x = 15,511,419,874.99/133,581.14
  6. Step 6: Final answer
    x = 116,119.83

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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.