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Finding the Fourth Proportional to 126,500.40, 189,896.40 and 76,636.80

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Solution

The fourth proportional to 126,500.40, 189,896.40 and 76,636.80 is: 115,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,500.40 : 189,896.40 = 76,636.80 : x
  2. Step 2: Convert to fraction form
    126,500.40/189,896.40 = 76,636.80/x
  3. Step 3: Cross multiply
    126,500.40x = 189,896.40 × 76,636.80
  4. Step 4: Simplify right side
    126,500.40x = 14,553,052,427.52
  5. Step 5: Solve for x
    x = 14,553,052,427.52/126,500.40
  6. Step 6: Final answer
    x = 115,043.53

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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.