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Finding the Fourth Proportional to 111,322.74, 166,589.93 and 69,222.65

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Solution

The fourth proportional to 111,322.74, 166,589.93 and 69,222.65 is: 103,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,322.74 : 166,589.93 = 69,222.65 : x
  2. Step 2: Convert to fraction form
    111,322.74/166,589.93 = 69,222.65/x
  3. Step 3: Cross multiply
    111,322.74x = 166,589.93 × 69,222.65
  4. Step 4: Simplify right side
    111,322.74x = 11,531,795,238.85
  5. Step 5: Solve for x
    x = 11,531,795,238.85/111,322.74
  6. Step 6: Final answer
    x = 103,588.86

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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.