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Finding the Fourth Proportional to 134.09, 202.06 and 111.77

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Solution

The fourth proportional to 134.09, 202.06 and 111.77 is: 168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.09 : 202.06 = 111.77 : x
  2. Step 2: Convert to fraction form
    134.09/202.06 = 111.77/x
  3. Step 3: Cross multiply
    134.09x = 202.06 × 111.77
  4. Step 4: Simplify right side
    134.09x = 22,583.69
  5. Step 5: Solve for x
    x = 22,583.69/134.09
  6. Step 6: Final answer
    x = 168.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.