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Finding the Fourth Proportional to 76.95, 106.14 and 60.62

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Solution

The fourth proportional to 76.95, 106.14 and 60.62 is: 83.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.95 : 106.14 = 60.62 : x
  2. Step 2: Convert to fraction form
    76.95/106.14 = 60.62/x
  3. Step 3: Cross multiply
    76.95x = 106.14 × 60.62
  4. Step 4: Simplify right side
    76.95x = 6,433.90
  5. Step 5: Solve for x
    x = 6,433.90/76.95
  6. Step 6: Final answer
    x = 83.61

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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.