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Finding the Fourth Proportional to 185,286.60, 278,002.80 and 72,947.70

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Solution

The fourth proportional to 185,286.60, 278,002.80 and 72,947.70 is: 109,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,286.60 : 278,002.80 = 72,947.70 : x
  2. Step 2: Convert to fraction form
    185,286.60/278,002.80 = 72,947.70/x
  3. Step 3: Cross multiply
    185,286.60x = 278,002.80 × 72,947.70
  4. Step 4: Simplify right side
    185,286.60x = 20,279,664,853.56
  5. Step 5: Solve for x
    x = 20,279,664,853.56/185,286.60
  6. Step 6: Final answer
    x = 109,450.25

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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.