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Finding the Fourth Proportional to 71.89, 107.83 and 31.29

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Solution

The fourth proportional to 71.89, 107.83 and 31.29 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.89 : 107.83 = 31.29 : x
  2. Step 2: Convert to fraction form
    71.89/107.83 = 31.29/x
  3. Step 3: Cross multiply
    71.89x = 107.83 × 31.29
  4. Step 4: Simplify right side
    71.89x = 3,373.64
  5. Step 5: Solve for x
    x = 3,373.64/71.89
  6. Step 6: Final answer
    x = 46.93

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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.