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Finding the Fourth Proportional to 126.60, 189.12 and 105

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Solution

The fourth proportional to 126.60, 189.12 and 105 is: 156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.60 : 189.12 = 105 : x
  2. Step 2: Convert to fraction form
    126.60/189.12 = 105/x
  3. Step 3: Cross multiply
    126.60x = 189.12 × 105
  4. Step 4: Simplify right side
    126.60x = 19,857.60
  5. Step 5: Solve for x
    x = 19,857.60/126.60
  6. Step 6: Final answer
    x = 156.85

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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.