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Finding the Fourth Proportional to 111,367.24, 166,788.54 and 86,205.88

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Solution

The fourth proportional to 111,367.24, 166,788.54 and 86,205.88 is: 129,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,367.24 : 166,788.54 = 86,205.88 : x
  2. Step 2: Convert to fraction form
    111,367.24/166,788.54 = 86,205.88/x
  3. Step 3: Cross multiply
    111,367.24x = 166,788.54 × 86,205.88
  4. Step 4: Simplify right side
    111,367.24x = 14,378,152,864.62
  5. Step 5: Solve for x
    x = 14,378,152,864.62/111,367.24
  6. Step 6: Final answer
    x = 129,105.77

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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.