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Finding the Fourth Proportional to 165,286.80, 247,930.20 and 54,464.40

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Solution

The fourth proportional to 165,286.80, 247,930.20 and 54,464.40 is: 81,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,286.80 : 247,930.20 = 54,464.40 : x
  2. Step 2: Convert to fraction form
    165,286.80/247,930.20 = 54,464.40/x
  3. Step 3: Cross multiply
    165,286.80x = 247,930.20 × 54,464.40
  4. Step 4: Simplify right side
    165,286.80x = 13,503,369,584.88
  5. Step 5: Solve for x
    x = 13,503,369,584.88/165,286.80
  6. Step 6: Final answer
    x = 81,696.60

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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.