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Finding the Fourth Proportional to 71.49, 107.23 and 47.15

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Solution

The fourth proportional to 71.49, 107.23 and 47.15 is: 70.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.49 : 107.23 = 47.15 : x
  2. Step 2: Convert to fraction form
    71.49/107.23 = 47.15/x
  3. Step 3: Cross multiply
    71.49x = 107.23 × 47.15
  4. Step 4: Simplify right side
    71.49x = 5,055.12
  5. Step 5: Solve for x
    x = 5,055.12/71.49
  6. Step 6: Final answer
    x = 70.71

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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.