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Finding the Fourth Proportional to 165,988.20, 248,949.90 and 55,180.20

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Solution

The fourth proportional to 165,988.20, 248,949.90 and 55,180.20 is: 82,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,988.20 : 248,949.90 = 55,180.20 : x
  2. Step 2: Convert to fraction form
    165,988.20/248,949.90 = 55,180.20/x
  3. Step 3: Cross multiply
    165,988.20x = 248,949.90 × 55,180.20
  4. Step 4: Simplify right side
    165,988.20x = 13,737,105,271.98
  5. Step 5: Solve for x
    x = 13,737,105,271.98/165,988.20
  6. Step 6: Final answer
    x = 82,759.53

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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.