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Finding the Fourth Proportional to 140,764.64, 194,201.16 and 80,338.64

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Solution

The fourth proportional to 140,764.64, 194,201.16 and 80,338.64 is: 110,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,764.64 : 194,201.16 = 80,338.64 : x
  2. Step 2: Convert to fraction form
    140,764.64/194,201.16 = 80,338.64/x
  3. Step 3: Cross multiply
    140,764.64x = 194,201.16 × 80,338.64
  4. Step 4: Simplify right side
    140,764.64x = 15,601,857,080.82
  5. Step 5: Solve for x
    x = 15,601,857,080.82/140,764.64
  6. Step 6: Final answer
    x = 110,836.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.