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Finding the Fourth Proportional to 71.93, 107.81 and 31.34

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Solution

The fourth proportional to 71.93, 107.81 and 31.34 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 107.81 = 31.34 : x
  2. Step 2: Convert to fraction form
    71.93/107.81 = 31.34/x
  3. Step 3: Cross multiply
    71.93x = 107.81 × 31.34
  4. Step 4: Simplify right side
    71.93x = 3,378.07
  5. Step 5: Solve for x
    x = 3,378.07/71.93
  6. Step 6: Final answer
    x = 46.97

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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.