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Finding the Fourth Proportional to 206,926.92, 310,447.62 and 82,355.40

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Solution

The fourth proportional to 206,926.92, 310,447.62 and 82,355.40 is: 123,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,926.92 : 310,447.62 = 82,355.40 : x
  2. Step 2: Convert to fraction form
    206,926.92/310,447.62 = 82,355.40/x
  3. Step 3: Cross multiply
    206,926.92x = 310,447.62 × 82,355.40
  4. Step 4: Simplify right side
    206,926.92x = 25,567,037,924.15
  5. Step 5: Solve for x
    x = 25,567,037,924.15/206,926.92
  6. Step 6: Final answer
    x = 123,555.88

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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.