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Finding the Fourth Proportional to 136.76, 187.77 and 123.80

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Solution

The fourth proportional to 136.76, 187.77 and 123.80 is: 169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.76 : 187.77 = 123.80 : x
  2. Step 2: Convert to fraction form
    136.76/187.77 = 123.80/x
  3. Step 3: Cross multiply
    136.76x = 187.77 × 123.80
  4. Step 4: Simplify right side
    136.76x = 23,245.93
  5. Step 5: Solve for x
    x = 23,245.93/136.76
  6. Step 6: Final answer
    x = 169.98

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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.