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Finding the Fourth Proportional to 140,463.50, 193,843.14 and 85,273.49

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Solution

The fourth proportional to 140,463.50, 193,843.14 and 85,273.49 is: 117,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,463.50 : 193,843.14 = 85,273.49 : x
  2. Step 2: Convert to fraction form
    140,463.50/193,843.14 = 85,273.49/x
  3. Step 3: Cross multiply
    140,463.50x = 193,843.14 × 85,273.49
  4. Step 4: Simplify right side
    140,463.50x = 16,529,681,060.36
  5. Step 5: Solve for x
    x = 16,529,681,060.36/140,463.50
  6. Step 6: Final answer
    x = 117,679.55

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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.