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Finding the Fourth Proportional to 71.66, 107.36 and 47.24

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Solution

The fourth proportional to 71.66, 107.36 and 47.24 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.66 : 107.36 = 47.24 : x
  2. Step 2: Convert to fraction form
    71.66/107.36 = 47.24/x
  3. Step 3: Cross multiply
    71.66x = 107.36 × 47.24
  4. Step 4: Simplify right side
    71.66x = 5,071.69
  5. Step 5: Solve for x
    x = 5,071.69/71.66
  6. Step 6: Final answer
    x = 70.77

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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.