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Finding the Fourth Proportional to 140,909.64, 194,463.12 and 80,499.90

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Solution

The fourth proportional to 140,909.64, 194,463.12 and 80,499.90 is: 111,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,909.64 : 194,463.12 = 80,499.90 : x
  2. Step 2: Convert to fraction form
    140,909.64/194,463.12 = 80,499.90/x
  3. Step 3: Cross multiply
    140,909.64x = 194,463.12 × 80,499.90
  4. Step 4: Simplify right side
    140,909.64x = 15,654,261,713.69
  5. Step 5: Solve for x
    x = 15,654,261,713.69/140,909.64
  6. Step 6: Final answer
    x = 111,094.33

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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.