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Finding the Fourth Proportional to 126.08, 188.98 and 68.18

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Solution

The fourth proportional to 126.08, 188.98 and 68.18 is: 102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.08 : 188.98 = 68.18 : x
  2. Step 2: Convert to fraction form
    126.08/188.98 = 68.18/x
  3. Step 3: Cross multiply
    126.08x = 188.98 × 68.18
  4. Step 4: Simplify right side
    126.08x = 12,884.44
  5. Step 5: Solve for x
    x = 12,884.44/126.08
  6. Step 6: Final answer
    x = 102.19

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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.