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Finding the Fourth Proportional to 128.67, 193 and 47.48

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Solution

The fourth proportional to 128.67, 193 and 47.48 is: 71.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.67 : 193 = 47.48 : x
  2. Step 2: Convert to fraction form
    128.67/193 = 47.48/x
  3. Step 3: Cross multiply
    128.67x = 193 × 47.48
  4. Step 4: Simplify right side
    128.67x = 9,163.64
  5. Step 5: Solve for x
    x = 9,163.64/128.67
  6. Step 6: Final answer
    x = 71.22

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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.