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Finding the Fourth Proportional to 105,974.73, 158,321.49 and 68,227.11

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Solution

The fourth proportional to 105,974.73, 158,321.49 and 68,227.11 is: 101,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,974.73 : 158,321.49 = 68,227.11 : x
  2. Step 2: Convert to fraction form
    105,974.73/158,321.49 = 68,227.11/x
  3. Step 3: Cross multiply
    105,974.73x = 158,321.49 × 68,227.11
  4. Step 4: Simplify right side
    105,974.73x = 10,801,817,457.74
  5. Step 5: Solve for x
    x = 10,801,817,457.74/105,974.73
  6. Step 6: Final answer
    x = 101,928.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.