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Finding the Fourth Proportional to 126,137.50, 189,420.50 and 84,286.48

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Solution

The fourth proportional to 126,137.50, 189,420.50 and 84,286.48 is: 126,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,137.50 : 189,420.50 = 84,286.48 : x
  2. Step 2: Convert to fraction form
    126,137.50/189,420.50 = 84,286.48/x
  3. Step 3: Cross multiply
    126,137.50x = 189,420.50 × 84,286.48
  4. Step 4: Simplify right side
    126,137.50x = 15,965,587,184.84
  5. Step 5: Solve for x
    x = 15,965,587,184.84/126,137.50
  6. Step 6: Final answer
    x = 126,572.88

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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.