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Finding the Fourth Proportional to 82,489.91, 123,454.40 and 50,919.89

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Solution

The fourth proportional to 82,489.91, 123,454.40 and 50,919.89 is: 76,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,489.91 : 123,454.40 = 50,919.89 : x
  2. Step 2: Convert to fraction form
    82,489.91/123,454.40 = 50,919.89/x
  3. Step 3: Cross multiply
    82,489.91x = 123,454.40 × 50,919.89
  4. Step 4: Simplify right side
    82,489.91x = 6,286,283,596.14
  5. Step 5: Solve for x
    x = 6,286,283,596.14/82,489.91
  6. Step 6: Final answer
    x = 76,206.70

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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.