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Finding the Fourth Proportional to 111,093.72, 166,529.80 and 71,678.51

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Solution

The fourth proportional to 111,093.72, 166,529.80 and 71,678.51 is: 107,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,093.72 : 166,529.80 = 71,678.51 : x
  2. Step 2: Convert to fraction form
    111,093.72/166,529.80 = 71,678.51/x
  3. Step 3: Cross multiply
    111,093.72x = 166,529.80 × 71,678.51
  4. Step 4: Simplify right side
    111,093.72x = 11,936,607,934.60
  5. Step 5: Solve for x
    x = 11,936,607,934.60/111,093.72
  6. Step 6: Final answer
    x = 107,446.29

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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.