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Finding the Fourth Proportional to 139.64, 191.65 and 136.04

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Solution

The fourth proportional to 139.64, 191.65 and 136.04 is: 186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 191.65 = 136.04 : x
  2. Step 2: Convert to fraction form
    139.64/191.65 = 136.04/x
  3. Step 3: Cross multiply
    139.64x = 191.65 × 136.04
  4. Step 4: Simplify right side
    139.64x = 26,072.07
  5. Step 5: Solve for x
    x = 26,072.07/139.64
  6. Step 6: Final answer
    x = 186.71

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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.