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Finding the Fourth Proportional to 77.89, 117.42 and 65.95

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Solution

The fourth proportional to 77.89, 117.42 and 65.95 is: 99.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.89 : 117.42 = 65.95 : x
  2. Step 2: Convert to fraction form
    77.89/117.42 = 65.95/x
  3. Step 3: Cross multiply
    77.89x = 117.42 × 65.95
  4. Step 4: Simplify right side
    77.89x = 7,743.85
  5. Step 5: Solve for x
    x = 7,743.85/77.89
  6. Step 6: Final answer
    x = 99.42

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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.