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Finding the Fourth Proportional to 78.08, 116.97 and 41.95

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Solution

The fourth proportional to 78.08, 116.97 and 41.95 is: 62.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.08 : 116.97 = 41.95 : x
  2. Step 2: Convert to fraction form
    78.08/116.97 = 41.95/x
  3. Step 3: Cross multiply
    78.08x = 116.97 × 41.95
  4. Step 4: Simplify right side
    78.08x = 4,906.89
  5. Step 5: Solve for x
    x = 4,906.89/78.08
  6. Step 6: Final answer
    x = 62.84

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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.