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Finding the Fourth Proportional to 136.06, 202.94 and 114.52

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Solution

The fourth proportional to 136.06, 202.94 and 114.52 is: 170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 202.94 = 114.52 : x
  2. Step 2: Convert to fraction form
    136.06/202.94 = 114.52/x
  3. Step 3: Cross multiply
    136.06x = 202.94 × 114.52
  4. Step 4: Simplify right side
    136.06x = 23,240.69
  5. Step 5: Solve for x
    x = 23,240.69/136.06
  6. Step 6: Final answer
    x = 170.81

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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.