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Finding the Fourth Proportional to 185,713.56, 278,705.61 and 67,394.43

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Solution

The fourth proportional to 185,713.56, 278,705.61 and 67,394.43 is: 101,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,713.56 : 278,705.61 = 67,394.43 : x
  2. Step 2: Convert to fraction form
    185,713.56/278,705.61 = 67,394.43/x
  3. Step 3: Cross multiply
    185,713.56x = 278,705.61 × 67,394.43
  4. Step 4: Simplify right side
    185,713.56x = 18,783,205,723.75
  5. Step 5: Solve for x
    x = 18,783,205,723.75/185,713.56
  6. Step 6: Final answer
    x = 101,140.73

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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.