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Finding the Fourth Proportional to 120,393.81, 166,145.21 and 69,405.59

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Solution

The fourth proportional to 120,393.81, 166,145.21 and 69,405.59 is: 95,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.81 : 166,145.21 = 69,405.59 : x
  2. Step 2: Convert to fraction form
    120,393.81/166,145.21 = 69,405.59/x
  3. Step 3: Cross multiply
    120,393.81x = 166,145.21 × 69,405.59
  4. Step 4: Simplify right side
    120,393.81x = 11,531,405,147.97
  5. Step 5: Solve for x
    x = 11,531,405,147.97/120,393.81
  6. Step 6: Final answer
    x = 95,780.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.