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Finding the Fourth Proportional to 136.07, 204.22 and 78.41

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Solution

The fourth proportional to 136.07, 204.22 and 78.41 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.07 : 204.22 = 78.41 : x
  2. Step 2: Convert to fraction form
    136.07/204.22 = 78.41/x
  3. Step 3: Cross multiply
    136.07x = 204.22 × 78.41
  4. Step 4: Simplify right side
    136.07x = 16,013.50
  5. Step 5: Solve for x
    x = 16,013.50/136.07
  6. Step 6: Final answer
    x = 117.69

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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.