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Finding the Fourth Proportional to 136.94, 204.93 and 118.71

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Solution

The fourth proportional to 136.94, 204.93 and 118.71 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.94 : 204.93 = 118.71 : x
  2. Step 2: Convert to fraction form
    136.94/204.93 = 118.71/x
  3. Step 3: Cross multiply
    136.94x = 204.93 × 118.71
  4. Step 4: Simplify right side
    136.94x = 24,327.24
  5. Step 5: Solve for x
    x = 24,327.24/136.94
  6. Step 6: Final answer
    x = 177.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.