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Finding the Fourth Proportional to 126.01, 173.75 and 84.49

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Solution

The fourth proportional to 126.01, 173.75 and 84.49 is: 116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.01 : 173.75 = 84.49 : x
  2. Step 2: Convert to fraction form
    126.01/173.75 = 84.49/x
  3. Step 3: Cross multiply
    126.01x = 173.75 × 84.49
  4. Step 4: Simplify right side
    126.01x = 14,680.26
  5. Step 5: Solve for x
    x = 14,680.26/126.01
  6. Step 6: Final answer
    x = 116.50

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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.