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Finding the Fourth Proportional to 111,739.37, 167,608.62 and 45,178.70

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Solution

The fourth proportional to 111,739.37, 167,608.62 and 45,178.70 is: 67,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,739.37 : 167,608.62 = 45,178.70 : x
  2. Step 2: Convert to fraction form
    111,739.37/167,608.62 = 45,178.70/x
  3. Step 3: Cross multiply
    111,739.37x = 167,608.62 × 45,178.70
  4. Step 4: Simplify right side
    111,739.37x = 7,572,338,722.35
  5. Step 5: Solve for x
    x = 7,572,338,722.35/111,739.37
  6. Step 6: Final answer
    x = 67,767.87

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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.