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Finding the Fourth Proportional to 217,705.65, 326,474.61 and 84,568.38

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Solution

The fourth proportional to 217,705.65, 326,474.61 and 84,568.38 is: 126,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,705.65 : 326,474.61 = 84,568.38 : x
  2. Step 2: Convert to fraction form
    217,705.65/326,474.61 = 84,568.38/x
  3. Step 3: Cross multiply
    217,705.65x = 326,474.61 × 84,568.38
  4. Step 4: Simplify right side
    217,705.65x = 27,609,428,878.83
  5. Step 5: Solve for x
    x = 27,609,428,878.83/217,705.65
  6. Step 6: Final answer
    x = 126,819.99

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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.