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Finding the Fourth Proportional to 279,073, 418,609.50 and 82,081

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Solution

The fourth proportional to 279,073, 418,609.50 and 82,081 is: 123,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,073 : 418,609.50 = 82,081 : x
  2. Step 2: Convert to fraction form
    279,073/418,609.50 = 82,081/x
  3. Step 3: Cross multiply
    279,073x = 418,609.50 × 82,081
  4. Step 4: Simplify right side
    279,073x = 34,359,886,369.50
  5. Step 5: Solve for x
    x = 34,359,886,369.50/279,073
  6. Step 6: Final answer
    x = 123,121.50

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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.