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Finding the Fourth Proportional to 108.78, 163.02 and 47.83

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Solution

The fourth proportional to 108.78, 163.02 and 47.83 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.78 : 163.02 = 47.83 : x
  2. Step 2: Convert to fraction form
    108.78/163.02 = 47.83/x
  3. Step 3: Cross multiply
    108.78x = 163.02 × 47.83
  4. Step 4: Simplify right side
    108.78x = 7,797.25
  5. Step 5: Solve for x
    x = 7,797.25/108.78
  6. Step 6: Final answer
    x = 71.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.