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Finding the Fourth Proportional to 106,399.68, 159,745.44 and 66,839.28

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Solution

The fourth proportional to 106,399.68, 159,745.44 and 66,839.28 is: 100,350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.68 : 159,745.44 = 66,839.28 : x
  2. Step 2: Convert to fraction form
    106,399.68/159,745.44 = 66,839.28/x
  3. Step 3: Cross multiply
    106,399.68x = 159,745.44 × 66,839.28
  4. Step 4: Simplify right side
    106,399.68x = 10,677,270,192.88
  5. Step 5: Solve for x
    x = 10,677,270,192.88/106,399.68
  6. Step 6: Final answer
    x = 100,350.59

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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.