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Finding the Fourth Proportional to 111,253.74, 166,806.56 and 71,789.28

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Solution

The fourth proportional to 111,253.74, 166,806.56 and 71,789.28 is: 107,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,253.74 : 166,806.56 = 71,789.28 : x
  2. Step 2: Convert to fraction form
    111,253.74/166,806.56 = 71,789.28/x
  3. Step 3: Cross multiply
    111,253.74x = 166,806.56 × 71,789.28
  4. Step 4: Simplify right side
    111,253.74x = 11,974,922,841.68
  5. Step 5: Solve for x
    x = 11,974,922,841.68/111,253.74
  6. Step 6: Final answer
    x = 107,636.14

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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.