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Finding the Fourth Proportional to 71.28, 107.10 and 47.39

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Solution

The fourth proportional to 71.28, 107.10 and 47.39 is: 71.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 107.10 = 47.39 : x
  2. Step 2: Convert to fraction form
    71.28/107.10 = 47.39/x
  3. Step 3: Cross multiply
    71.28x = 107.10 × 47.39
  4. Step 4: Simplify right side
    71.28x = 5,074.93
  5. Step 5: Solve for x
    x = 5,074.93/71.28
  6. Step 6: Final answer
    x = 71.20

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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.