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Finding the Fourth Proportional to 321,110.72, 481,761.12 and 110,769.92

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Solution

The fourth proportional to 321,110.72, 481,761.12 and 110,769.92 is: 166,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,110.72 : 481,761.12 = 110,769.92 : x
  2. Step 2: Convert to fraction form
    321,110.72/481,761.12 = 110,769.92/x
  3. Step 3: Cross multiply
    321,110.72x = 481,761.12 × 110,769.92
  4. Step 4: Simplify right side
    321,110.72x = 53,364,640,721.51
  5. Step 5: Solve for x
    x = 53,364,640,721.51/321,110.72
  6. Step 6: Final answer
    x = 166,187.66

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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.