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Finding the Fourth Proportional to 76.83, 106.03 and 49.22

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Solution

The fourth proportional to 76.83, 106.03 and 49.22 is: 67.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 106.03 = 49.22 : x
  2. Step 2: Convert to fraction form
    76.83/106.03 = 49.22/x
  3. Step 3: Cross multiply
    76.83x = 106.03 × 49.22
  4. Step 4: Simplify right side
    76.83x = 5,218.80
  5. Step 5: Solve for x
    x = 5,218.80/76.83
  6. Step 6: Final answer
    x = 67.93

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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.