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Finding the Fourth Proportional to 140,770.64, 194,209.44 and 80,344.64

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Solution

The fourth proportional to 140,770.64, 194,209.44 and 80,344.64 is: 110,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,770.64 : 194,209.44 = 80,344.64 : x
  2. Step 2: Convert to fraction form
    140,770.64/194,209.44 = 80,344.64/x
  3. Step 3: Cross multiply
    140,770.64x = 194,209.44 × 80,344.64
  4. Step 4: Simplify right side
    140,770.64x = 15,603,687,541.40
  5. Step 5: Solve for x
    x = 15,603,687,541.40/140,770.64
  6. Step 6: Final answer
    x = 110,844.76

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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.