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Finding the Fourth Proportional to 111,738.64, 167,580.40 and 66,772.88

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Solution

The fourth proportional to 111,738.64, 167,580.40 and 66,772.88 is: 100,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,738.64 : 167,580.40 = 66,772.88 : x
  2. Step 2: Convert to fraction form
    111,738.64/167,580.40 = 66,772.88/x
  3. Step 3: Cross multiply
    111,738.64x = 167,580.40 × 66,772.88
  4. Step 4: Simplify right side
    111,738.64x = 11,189,825,939.55
  5. Step 5: Solve for x
    x = 11,189,825,939.55/111,738.64
  6. Step 6: Final answer
    x = 100,142.85

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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.