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Finding the Fourth Proportional to 140.69, 193.86 and 105.72

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Solution

The fourth proportional to 140.69, 193.86 and 105.72 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.69 : 193.86 = 105.72 : x
  2. Step 2: Convert to fraction form
    140.69/193.86 = 105.72/x
  3. Step 3: Cross multiply
    140.69x = 193.86 × 105.72
  4. Step 4: Simplify right side
    140.69x = 20,494.88
  5. Step 5: Solve for x
    x = 20,494.88/140.69
  6. Step 6: Final answer
    x = 145.68

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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.