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Finding the Fourth Proportional to 140,768.58, 194,263.80 and 80,338.02

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Solution

The fourth proportional to 140,768.58, 194,263.80 and 80,338.02 is: 110,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,768.58 : 194,263.80 = 80,338.02 : x
  2. Step 2: Convert to fraction form
    140,768.58/194,263.80 = 80,338.02/x
  3. Step 3: Cross multiply
    140,768.58x = 194,263.80 × 80,338.02
  4. Step 4: Simplify right side
    140,768.58x = 15,606,769,049.68
  5. Step 5: Solve for x
    x = 15,606,769,049.68/140,768.58
  6. Step 6: Final answer
    x = 110,868.27

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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.