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Finding the Fourth Proportional to 165,755.97, 248,632.20 and 70,905.78

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Solution

The fourth proportional to 165,755.97, 248,632.20 and 70,905.78 is: 106,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,755.97 : 248,632.20 = 70,905.78 : x
  2. Step 2: Convert to fraction form
    165,755.97/248,632.20 = 70,905.78/x
  3. Step 3: Cross multiply
    165,755.97x = 248,632.20 × 70,905.78
  4. Step 4: Simplify right side
    165,755.97x = 17,629,460,074.12
  5. Step 5: Solve for x
    x = 17,629,460,074.12/165,755.97
  6. Step 6: Final answer
    x = 106,357.92

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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.