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Finding the Fourth Proportional to 140,092.38, 193,342.38 and 85,676.39

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Solution

The fourth proportional to 140,092.38, 193,342.38 and 85,676.39 is: 118,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,092.38 : 193,342.38 = 85,676.39 : x
  2. Step 2: Convert to fraction form
    140,092.38/193,342.38 = 85,676.39/x
  3. Step 3: Cross multiply
    140,092.38x = 193,342.38 × 85,676.39
  4. Step 4: Simplify right side
    140,092.38x = 16,564,876,185.70
  5. Step 5: Solve for x
    x = 16,564,876,185.70/140,092.38
  6. Step 6: Final answer
    x = 118,242.52

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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.