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Finding the Fourth Proportional to 140,464, 193,843.83 and 85,273.99

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Solution

The fourth proportional to 140,464, 193,843.83 and 85,273.99 is: 117,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,464 : 193,843.83 = 85,273.99 : x
  2. Step 2: Convert to fraction form
    140,464/193,843.83 = 85,273.99/x
  3. Step 3: Cross multiply
    140,464x = 193,843.83 × 85,273.99
  4. Step 4: Simplify right side
    140,464x = 16,529,836,820.98
  5. Step 5: Solve for x
    x = 16,529,836,820.98/140,464
  6. Step 6: Final answer
    x = 117,680.24

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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.