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Finding the Fourth Proportional to 165,791.20, 248,660.40 and 54,983.20

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Solution

The fourth proportional to 165,791.20, 248,660.40 and 54,983.20 is: 82,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,791.20 : 248,660.40 = 54,983.20 : x
  2. Step 2: Convert to fraction form
    165,791.20/248,660.40 = 54,983.20/x
  3. Step 3: Cross multiply
    165,791.20x = 248,660.40 × 54,983.20
  4. Step 4: Simplify right side
    165,791.20x = 13,672,144,505.28
  5. Step 5: Solve for x
    x = 13,672,144,505.28/165,791.20
  6. Step 6: Final answer
    x = 82,466.04

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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.