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Finding the Fourth Proportional to 126.02, 188.85 and 71.81

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Solution

The fourth proportional to 126.02, 188.85 and 71.81 is: 107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.02 : 188.85 = 71.81 : x
  2. Step 2: Convert to fraction form
    126.02/188.85 = 71.81/x
  3. Step 3: Cross multiply
    126.02x = 188.85 × 71.81
  4. Step 4: Simplify right side
    126.02x = 13,560.37
  5. Step 5: Solve for x
    x = 13,560.37/126.02
  6. Step 6: Final answer
    x = 107.60

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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.