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Finding the Fourth Proportional to 126.81, 190.07 and 69.06

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Solution

The fourth proportional to 126.81, 190.07 and 69.06 is: 103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.81 : 190.07 = 69.06 : x
  2. Step 2: Convert to fraction form
    126.81/190.07 = 69.06/x
  3. Step 3: Cross multiply
    126.81x = 190.07 × 69.06
  4. Step 4: Simplify right side
    126.81x = 13,125.89
  5. Step 5: Solve for x
    x = 13,125.89/126.81
  6. Step 6: Final answer
    x = 103.51

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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.