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Finding the Fourth Proportional to 71,809.39, 107,664.12 and 31,806.66

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Solution

The fourth proportional to 71,809.39, 107,664.12 and 31,806.66 is: 47,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,809.39 : 107,664.12 = 31,806.66 : x
  2. Step 2: Convert to fraction form
    71,809.39/107,664.12 = 31,806.66/x
  3. Step 3: Cross multiply
    71,809.39x = 107,664.12 × 31,806.66
  4. Step 4: Simplify right side
    71,809.39x = 3,424,436,059.04
  5. Step 5: Solve for x
    x = 3,424,436,059.04/71,809.39
  6. Step 6: Final answer
    x = 47,687.86

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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.