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Finding the Fourth Proportional to 80.68, 111.33 and 51.19

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Solution

The fourth proportional to 80.68, 111.33 and 51.19 is: 70.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.68 : 111.33 = 51.19 : x
  2. Step 2: Convert to fraction form
    80.68/111.33 = 51.19/x
  3. Step 3: Cross multiply
    80.68x = 111.33 × 51.19
  4. Step 4: Simplify right side
    80.68x = 5,698.98
  5. Step 5: Solve for x
    x = 5,698.98/80.68
  6. Step 6: Final answer
    x = 70.64

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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.