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Finding the Fourth Proportional to 126.86, 189.53 and 126.18

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Solution

The fourth proportional to 126.86, 189.53 and 126.18 is: 188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 189.53 = 126.18 : x
  2. Step 2: Convert to fraction form
    126.86/189.53 = 126.18/x
  3. Step 3: Cross multiply
    126.86x = 189.53 × 126.18
  4. Step 4: Simplify right side
    126.86x = 23,914.26
  5. Step 5: Solve for x
    x = 23,914.26/126.86
  6. Step 6: Final answer
    x = 188.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.