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Finding the Fourth Proportional to 126.64, 188.90 and 105.04

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Solution

The fourth proportional to 126.64, 188.90 and 105.04 is: 156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.64 : 188.90 = 105.04 : x
  2. Step 2: Convert to fraction form
    126.64/188.90 = 105.04/x
  3. Step 3: Cross multiply
    126.64x = 188.90 × 105.04
  4. Step 4: Simplify right side
    126.64x = 19,842.06
  5. Step 5: Solve for x
    x = 19,842.06/126.64
  6. Step 6: Final answer
    x = 156.68

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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.