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Finding the Fourth Proportional to 126,797.42, 189,926.39 and 102,993.14

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Solution

The fourth proportional to 126,797.42, 189,926.39 and 102,993.14 is: 154,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,797.42 : 189,926.39 = 102,993.14 : x
  2. Step 2: Convert to fraction form
    126,797.42/189,926.39 = 102,993.14/x
  3. Step 3: Cross multiply
    126,797.42x = 189,926.39 × 102,993.14
  4. Step 4: Simplify right side
    126,797.42x = 19,561,116,007.26
  5. Step 5: Solve for x
    x = 19,561,116,007.26/126,797.42
  6. Step 6: Final answer
    x = 154,270.61

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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.