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Finding the Fourth Proportional to 72,191.67, 108,305.95 and 27,806.50

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Solution

The fourth proportional to 72,191.67, 108,305.95 and 27,806.50 is: 41,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,191.67 : 108,305.95 = 27,806.50 : x
  2. Step 2: Convert to fraction form
    72,191.67/108,305.95 = 27,806.50/x
  3. Step 3: Cross multiply
    72,191.67x = 108,305.95 × 27,806.50
  4. Step 4: Simplify right side
    72,191.67x = 3,011,609,398.68
  5. Step 5: Solve for x
    x = 3,011,609,398.68/72,191.67
  6. Step 6: Final answer
    x = 41,716.86

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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.