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Finding the Fourth Proportional to 111,003.80, 166,340.72 and 66,578.54

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Solution

The fourth proportional to 111,003.80, 166,340.72 and 66,578.54 is: 99,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,003.80 : 166,340.72 = 66,578.54 : x
  2. Step 2: Convert to fraction form
    111,003.80/166,340.72 = 66,578.54/x
  3. Step 3: Cross multiply
    111,003.80x = 166,340.72 × 66,578.54
  4. Step 4: Simplify right side
    111,003.80x = 11,074,721,614.89
  5. Step 5: Solve for x
    x = 11,074,721,614.89/111,003.80
  6. Step 6: Final answer
    x = 99,768.86

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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.