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Finding the Fourth Proportional to 169,198.39, 253,796.91 and 75,638.53

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Solution

The fourth proportional to 169,198.39, 253,796.91 and 75,638.53 is: 113,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,198.39 : 253,796.91 = 75,638.53 : x
  2. Step 2: Convert to fraction form
    169,198.39/253,796.91 = 75,638.53/x
  3. Step 3: Cross multiply
    169,198.39x = 253,796.91 × 75,638.53
  4. Step 4: Simplify right side
    169,198.39x = 19,196,825,190.94
  5. Step 5: Solve for x
    x = 19,196,825,190.94/169,198.39
  6. Step 6: Final answer
    x = 113,457.49

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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.