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Finding the Fourth Proportional to 116.42, 174.44 and 82.13

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Solution

The fourth proportional to 116.42, 174.44 and 82.13 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 174.44 = 82.13 : x
  2. Step 2: Convert to fraction form
    116.42/174.44 = 82.13/x
  3. Step 3: Cross multiply
    116.42x = 174.44 × 82.13
  4. Step 4: Simplify right side
    116.42x = 14,325.96
  5. Step 5: Solve for x
    x = 14,325.96/116.42
  6. Step 6: Final answer
    x = 123.05

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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.