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Finding the Fourth Proportional to 140.88, 194.43 and 78.72

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Solution

The fourth proportional to 140.88, 194.43 and 78.72 is: 108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.88 : 194.43 = 78.72 : x
  2. Step 2: Convert to fraction form
    140.88/194.43 = 78.72/x
  3. Step 3: Cross multiply
    140.88x = 194.43 × 78.72
  4. Step 4: Simplify right side
    140.88x = 15,305.53
  5. Step 5: Solve for x
    x = 15,305.53/140.88
  6. Step 6: Final answer
    x = 108.64

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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.