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Finding the Fourth Proportional to 101.80, 140.36 and 79.59

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Solution

The fourth proportional to 101.80, 140.36 and 79.59 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.80 : 140.36 = 79.59 : x
  2. Step 2: Convert to fraction form
    101.80/140.36 = 79.59/x
  3. Step 3: Cross multiply
    101.80x = 140.36 × 79.59
  4. Step 4: Simplify right side
    101.80x = 11,170.85
  5. Step 5: Solve for x
    x = 11,170.85/101.80
  6. Step 6: Final answer
    x = 109.74

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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.