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Finding the Fourth Proportional to 76.02, 104.78 and 49.79

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Solution

The fourth proportional to 76.02, 104.78 and 49.79 is: 68.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.02 : 104.78 = 49.79 : x
  2. Step 2: Convert to fraction form
    76.02/104.78 = 49.79/x
  3. Step 3: Cross multiply
    76.02x = 104.78 × 49.79
  4. Step 4: Simplify right side
    76.02x = 5,216.47
  5. Step 5: Solve for x
    x = 5,216.47/76.02
  6. Step 6: Final answer
    x = 68.62

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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.