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Finding the Fourth Proportional to 140.99, 194.56 and 78.82

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Solution

The fourth proportional to 140.99, 194.56 and 78.82 is: 108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.99 : 194.56 = 78.82 : x
  2. Step 2: Convert to fraction form
    140.99/194.56 = 78.82/x
  3. Step 3: Cross multiply
    140.99x = 194.56 × 78.82
  4. Step 4: Simplify right side
    140.99x = 15,335.22
  5. Step 5: Solve for x
    x = 15,335.22/140.99
  6. Step 6: Final answer
    x = 108.77

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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.