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Finding the Fourth Proportional to 111,494.36, 167,239.89 and 77,268.62

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Solution

The fourth proportional to 111,494.36, 167,239.89 and 77,268.62 is: 115,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,494.36 : 167,239.89 = 77,268.62 : x
  2. Step 2: Convert to fraction form
    111,494.36/167,239.89 = 77,268.62/x
  3. Step 3: Cross multiply
    111,494.36x = 167,239.89 × 77,268.62
  4. Step 4: Simplify right side
    111,494.36x = 12,922,394,673.05
  5. Step 5: Solve for x
    x = 12,922,394,673.05/111,494.36
  6. Step 6: Final answer
    x = 115,901.78

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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.