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Finding the Fourth Proportional to 140,709.90, 194,190 and 80,281.86

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Solution

The fourth proportional to 140,709.90, 194,190 and 80,281.86 is: 110,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,709.90 : 194,190 = 80,281.86 : x
  2. Step 2: Convert to fraction form
    140,709.90/194,190 = 80,281.86/x
  3. Step 3: Cross multiply
    140,709.90x = 194,190 × 80,281.86
  4. Step 4: Simplify right side
    140,709.90x = 15,589,934,393.40
  5. Step 5: Solve for x
    x = 15,589,934,393.40/140,709.90
  6. Step 6: Final answer
    x = 110,794.87

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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.