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Finding the Fourth Proportional to 101,893.50, 140,613.30 and 57,181.50

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Solution

The fourth proportional to 101,893.50, 140,613.30 and 57,181.50 is: 78,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,893.50 : 140,613.30 = 57,181.50 : x
  2. Step 2: Convert to fraction form
    101,893.50/140,613.30 = 57,181.50/x
  3. Step 3: Cross multiply
    101,893.50x = 140,613.30 × 57,181.50
  4. Step 4: Simplify right side
    101,893.50x = 8,040,479,413.95
  5. Step 5: Solve for x
    x = 8,040,479,413.95/101,893.50
  6. Step 6: Final answer
    x = 78,910.62

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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.