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Finding the Fourth Proportional to 136.96, 188.01 and 126.02

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Solution

The fourth proportional to 136.96, 188.01 and 126.02 is: 172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.96 : 188.01 = 126.02 : x
  2. Step 2: Convert to fraction form
    136.96/188.01 = 126.02/x
  3. Step 3: Cross multiply
    136.96x = 188.01 × 126.02
  4. Step 4: Simplify right side
    136.96x = 23,693.02
  5. Step 5: Solve for x
    x = 23,693.02/136.96
  6. Step 6: Final answer
    x = 172.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.