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Finding the Fourth Proportional to 116.87, 174.89 and 82.47

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Solution

The fourth proportional to 116.87, 174.89 and 82.47 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.87 : 174.89 = 82.47 : x
  2. Step 2: Convert to fraction form
    116.87/174.89 = 82.47/x
  3. Step 3: Cross multiply
    116.87x = 174.89 × 82.47
  4. Step 4: Simplify right side
    116.87x = 14,423.18
  5. Step 5: Solve for x
    x = 14,423.18/116.87
  6. Step 6: Final answer
    x = 123.42

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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.