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Finding the Fourth Proportional to 111,857.76, 167,589.81 and 105,198.35

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Solution

The fourth proportional to 111,857.76, 167,589.81 and 105,198.35 is: 157,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,857.76 : 167,589.81 = 105,198.35 : x
  2. Step 2: Convert to fraction form
    111,857.76/167,589.81 = 105,198.35/x
  3. Step 3: Cross multiply
    111,857.76x = 167,589.81 × 105,198.35
  4. Step 4: Simplify right side
    111,857.76x = 17,630,170,650.86
  5. Step 5: Solve for x
    x = 17,630,170,650.86/111,857.76
  6. Step 6: Final answer
    x = 157,612.41

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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.