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Finding the Fourth Proportional to 165,996, 248,996.16 and 55,188

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Solution

The fourth proportional to 165,996, 248,996.16 and 55,188 is: 82,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,996 : 248,996.16 = 55,188 : x
  2. Step 2: Convert to fraction form
    165,996/248,996.16 = 55,188/x
  3. Step 3: Cross multiply
    165,996x = 248,996.16 × 55,188
  4. Step 4: Simplify right side
    165,996x = 13,741,600,078.08
  5. Step 5: Solve for x
    x = 13,741,600,078.08/165,996
  6. Step 6: Final answer
    x = 82,782.72

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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.