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Finding the Fourth Proportional to 136.02, 186.68 and 123.72

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Solution

The fourth proportional to 136.02, 186.68 and 123.72 is: 169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.02 : 186.68 = 123.72 : x
  2. Step 2: Convert to fraction form
    136.02/186.68 = 123.72/x
  3. Step 3: Cross multiply
    136.02x = 186.68 × 123.72
  4. Step 4: Simplify right side
    136.02x = 23,096.05
  5. Step 5: Solve for x
    x = 23,096.05/136.02
  6. Step 6: Final answer
    x = 169.80

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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.