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Finding the Fourth Proportional to 165,940.80, 248,911.20 and 55,132.80

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Solution

The fourth proportional to 165,940.80, 248,911.20 and 55,132.80 is: 82,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,940.80 : 248,911.20 = 55,132.80 : x
  2. Step 2: Convert to fraction form
    165,940.80/248,911.20 = 55,132.80/x
  3. Step 3: Cross multiply
    165,940.80x = 248,911.20 × 55,132.80
  4. Step 4: Simplify right side
    165,940.80x = 13,723,171,407.36
  5. Step 5: Solve for x
    x = 13,723,171,407.36/165,940.80
  6. Step 6: Final answer
    x = 82,699.20

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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.