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Finding the Fourth Proportional to 141.77, 195.81 and 106.95

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Solution

The fourth proportional to 141.77, 195.81 and 106.95 is: 147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.77 : 195.81 = 106.95 : x
  2. Step 2: Convert to fraction form
    141.77/195.81 = 106.95/x
  3. Step 3: Cross multiply
    141.77x = 195.81 × 106.95
  4. Step 4: Simplify right side
    141.77x = 20,941.88
  5. Step 5: Solve for x
    x = 20,941.88/141.77
  6. Step 6: Final answer
    x = 147.72

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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.