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Finding the Fourth Proportional to 76.14, 104.98 and 57.68

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Solution

The fourth proportional to 76.14, 104.98 and 57.68 is: 79.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 104.98 = 57.68 : x
  2. Step 2: Convert to fraction form
    76.14/104.98 = 57.68/x
  3. Step 3: Cross multiply
    76.14x = 104.98 × 57.68
  4. Step 4: Simplify right side
    76.14x = 6,055.25
  5. Step 5: Solve for x
    x = 6,055.25/76.14
  6. Step 6: Final answer
    x = 79.53

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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.