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Finding the Fourth Proportional to 73.77, 111.19 and 69.78

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Solution

The fourth proportional to 73.77, 111.19 and 69.78 is: 105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.77 : 111.19 = 69.78 : x
  2. Step 2: Convert to fraction form
    73.77/111.19 = 69.78/x
  3. Step 3: Cross multiply
    73.77x = 111.19 × 69.78
  4. Step 4: Simplify right side
    73.77x = 7,758.84
  5. Step 5: Solve for x
    x = 7,758.84/73.77
  6. Step 6: Final answer
    x = 105.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.