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Finding the Fourth Proportional to 123.09, 183.96 and 113.36

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Solution

The fourth proportional to 123.09, 183.96 and 113.36 is: 169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.09 : 183.96 = 113.36 : x
  2. Step 2: Convert to fraction form
    123.09/183.96 = 113.36/x
  3. Step 3: Cross multiply
    123.09x = 183.96 × 113.36
  4. Step 4: Simplify right side
    123.09x = 20,852.22
  5. Step 5: Solve for x
    x = 20,852.22/123.09
  6. Step 6: Final answer
    x = 169.41

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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.