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Finding the Fourth Proportional to 217,205.33, 325,705.75 and 84,147.89

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Solution

The fourth proportional to 217,205.33, 325,705.75 and 84,147.89 is: 126,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,205.33 : 325,705.75 = 84,147.89 : x
  2. Step 2: Convert to fraction form
    217,205.33/325,705.75 = 84,147.89/x
  3. Step 3: Cross multiply
    217,205.33x = 325,705.75 × 84,147.89
  4. Step 4: Simplify right side
    217,205.33x = 27,407,451,623.37
  5. Step 5: Solve for x
    x = 27,407,451,623.37/217,205.33
  6. Step 6: Final answer
    x = 126,182.22

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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.