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Finding the Fourth Proportional to 66,799.31, 100,209.89 and 31,727.12

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Solution

The fourth proportional to 66,799.31, 100,209.89 and 31,727.12 is: 47,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,799.31 : 100,209.89 = 31,727.12 : x
  2. Step 2: Convert to fraction form
    66,799.31/100,209.89 = 31,727.12/x
  3. Step 3: Cross multiply
    66,799.31x = 100,209.89 × 31,727.12
  4. Step 4: Simplify right side
    66,799.31x = 3,179,370,545.53
  5. Step 5: Solve for x
    x = 3,179,370,545.53/66,799.31
  6. Step 6: Final answer
    x = 47,595.86

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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.