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Finding the Fourth Proportional to 206,884.56, 310,326.29 and 55,081.65

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Solution

The fourth proportional to 206,884.56, 310,326.29 and 55,081.65 is: 82,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.56 : 310,326.29 = 55,081.65 : x
  2. Step 2: Convert to fraction form
    206,884.56/310,326.29 = 55,081.65/x
  3. Step 3: Cross multiply
    206,884.56x = 310,326.29 × 55,081.65
  4. Step 4: Simplify right side
    206,884.56x = 17,093,285,186.45
  5. Step 5: Solve for x
    x = 17,093,285,186.45/206,884.56
  6. Step 6: Final answer
    x = 82,622.33

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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.