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Finding the Fourth Proportional to 67.87, 101.79 and 19.77

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Solution

The fourth proportional to 67.87, 101.79 and 19.77 is: 29.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.87 : 101.79 = 19.77 : x
  2. Step 2: Convert to fraction form
    67.87/101.79 = 19.77/x
  3. Step 3: Cross multiply
    67.87x = 101.79 × 19.77
  4. Step 4: Simplify right side
    67.87x = 2,012.39
  5. Step 5: Solve for x
    x = 2,012.39/67.87
  6. Step 6: Final answer
    x = 29.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.