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Finding the Fourth Proportional to 126,165, 189,033.20 and 76,139.96

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Solution

The fourth proportional to 126,165, 189,033.20 and 76,139.96 is: 114,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,165 : 189,033.20 = 76,139.96 : x
  2. Step 2: Convert to fraction form
    126,165/189,033.20 = 76,139.96/x
  3. Step 3: Cross multiply
    126,165x = 189,033.20 × 76,139.96
  4. Step 4: Simplify right side
    126,165x = 14,392,980,286.67
  5. Step 5: Solve for x
    x = 14,392,980,286.67/126,165
  6. Step 6: Final answer
    x = 114,080.61

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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.