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Finding the Fourth Proportional to 136.94, 204.47 and 123

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Solution

The fourth proportional to 136.94, 204.47 and 123 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.94 : 204.47 = 123 : x
  2. Step 2: Convert to fraction form
    136.94/204.47 = 123/x
  3. Step 3: Cross multiply
    136.94x = 204.47 × 123
  4. Step 4: Simplify right side
    136.94x = 25,149.81
  5. Step 5: Solve for x
    x = 25,149.81/136.94
  6. Step 6: Final answer
    x = 183.66

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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.