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Finding the Fourth Proportional to 76.18, 105 and 59.78

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Solution

The fourth proportional to 76.18, 105 and 59.78 is: 82.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.18 : 105 = 59.78 : x
  2. Step 2: Convert to fraction form
    76.18/105 = 59.78/x
  3. Step 3: Cross multiply
    76.18x = 105 × 59.78
  4. Step 4: Simplify right side
    76.18x = 6,276.38
  5. Step 5: Solve for x
    x = 6,276.38/76.18
  6. Step 6: Final answer
    x = 82.39

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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.