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Finding the Fourth Proportional to 206,811.56, 310,171.26 and 82,119.08

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Solution

The fourth proportional to 206,811.56, 310,171.26 and 82,119.08 is: 123,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811.56 : 310,171.26 = 82,119.08 : x
  2. Step 2: Convert to fraction form
    206,811.56/310,171.26 = 82,119.08/x
  3. Step 3: Cross multiply
    206,811.56x = 310,171.26 × 82,119.08
  4. Step 4: Simplify right side
    206,811.56x = 25,470,978,513.64
  5. Step 5: Solve for x
    x = 25,470,978,513.64/206,811.56
  6. Step 6: Final answer
    x = 123,160.32

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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.