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Finding the Fourth Proportional to 47.73, 72.11 and 47.23

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Solution

The fourth proportional to 47.73, 72.11 and 47.23 is: 71.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.73 : 72.11 = 47.23 : x
  2. Step 2: Convert to fraction form
    47.73/72.11 = 47.23/x
  3. Step 3: Cross multiply
    47.73x = 72.11 × 47.23
  4. Step 4: Simplify right side
    47.73x = 3,405.69
  5. Step 5: Solve for x
    x = 3,405.69/47.73
  6. Step 6: Final answer
    x = 71.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.