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Finding the Fourth Proportional to 126,635.40, 189,928.80 and 37,891.80

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Solution

The fourth proportional to 126,635.40, 189,928.80 and 37,891.80 is: 56,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,635.40 : 189,928.80 = 37,891.80 : x
  2. Step 2: Convert to fraction form
    126,635.40/189,928.80 = 37,891.80/x
  3. Step 3: Cross multiply
    126,635.40x = 189,928.80 × 37,891.80
  4. Step 4: Simplify right side
    126,635.40x = 7,196,744,103.84
  5. Step 5: Solve for x
    x = 7,196,744,103.84/126,635.40
  6. Step 6: Final answer
    x = 56,830.43

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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.