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Finding the Fourth Proportional to 126.50, 174.50 and 84.56

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Solution

The fourth proportional to 126.50, 174.50 and 84.56 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 174.50 = 84.56 : x
  2. Step 2: Convert to fraction form
    126.50/174.50 = 84.56/x
  3. Step 3: Cross multiply
    126.50x = 174.50 × 84.56
  4. Step 4: Simplify right side
    126.50x = 14,754.42
  5. Step 5: Solve for x
    x = 14,754.42/126.50
  6. Step 6: Final answer
    x = 116.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.