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Finding the Fourth Proportional to 111,939.87, 167,909.62 and 76,772.91

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Solution

The fourth proportional to 111,939.87, 167,909.62 and 76,772.91 is: 115,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,939.87 : 167,909.62 = 76,772.91 : x
  2. Step 2: Convert to fraction form
    111,939.87/167,909.62 = 76,772.91/x
  3. Step 3: Cross multiply
    111,939.87x = 167,909.62 × 76,772.91
  4. Step 4: Simplify right side
    111,939.87x = 12,890,910,144.39
  5. Step 5: Solve for x
    x = 12,890,910,144.39/111,939.87
  6. Step 6: Final answer
    x = 115,159.24

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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.