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Finding the Fourth Proportional to 84.42, 127.24 and 78.85

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Solution

The fourth proportional to 84.42, 127.24 and 78.85 is: 118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.42 : 127.24 = 78.85 : x
  2. Step 2: Convert to fraction form
    84.42/127.24 = 78.85/x
  3. Step 3: Cross multiply
    84.42x = 127.24 × 78.85
  4. Step 4: Simplify right side
    84.42x = 10,032.87
  5. Step 5: Solve for x
    x = 10,032.87/84.42
  6. Step 6: Final answer
    x = 118.84

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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.