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Finding the Fourth Proportional to 116.19, 174.32 and 47.73

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Solution

The fourth proportional to 116.19, 174.32 and 47.73 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 174.32 = 47.73 : x
  2. Step 2: Convert to fraction form
    116.19/174.32 = 47.73/x
  3. Step 3: Cross multiply
    116.19x = 174.32 × 47.73
  4. Step 4: Simplify right side
    116.19x = 8,320.05
  5. Step 5: Solve for x
    x = 8,320.05/116.19
  6. Step 6: Final answer
    x = 71.61

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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.