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Finding the Fourth Proportional to 136.02, 186.45 and 134.14

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Solution

The fourth proportional to 136.02, 186.45 and 134.14 is: 183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.02 : 186.45 = 134.14 : x
  2. Step 2: Convert to fraction form
    136.02/186.45 = 134.14/x
  3. Step 3: Cross multiply
    136.02x = 186.45 × 134.14
  4. Step 4: Simplify right side
    136.02x = 25,010.40
  5. Step 5: Solve for x
    x = 25,010.40/136.02
  6. Step 6: Final answer
    x = 183.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.