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Finding the Fourth Proportional to 140,755.69, 194,246 and 80,325.13

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Solution

The fourth proportional to 140,755.69, 194,246 and 80,325.13 is: 110,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,755.69 : 194,246 = 80,325.13 : x
  2. Step 2: Convert to fraction form
    140,755.69/194,246 = 80,325.13/x
  3. Step 3: Cross multiply
    140,755.69x = 194,246 × 80,325.13
  4. Step 4: Simplify right side
    140,755.69x = 15,602,835,201.98
  5. Step 5: Solve for x
    x = 15,602,835,201.98/140,755.69
  6. Step 6: Final answer
    x = 110,850.48

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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.