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Finding the Fourth Proportional to 136.45, 188.31 and 78.22

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Solution

The fourth proportional to 136.45, 188.31 and 78.22 is: 107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.45 : 188.31 = 78.22 : x
  2. Step 2: Convert to fraction form
    136.45/188.31 = 78.22/x
  3. Step 3: Cross multiply
    136.45x = 188.31 × 78.22
  4. Step 4: Simplify right side
    136.45x = 14,729.61
  5. Step 5: Solve for x
    x = 14,729.61/136.45
  6. Step 6: Final answer
    x = 107.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.