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Finding the Fourth Proportional to 253,344.78, 349,601.31 and 140,160.78

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Solution

The fourth proportional to 253,344.78, 349,601.31 and 140,160.78 is: 193,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,344.78 : 349,601.31 = 140,160.78 : x
  2. Step 2: Convert to fraction form
    253,344.78/349,601.31 = 140,160.78/x
  3. Step 3: Cross multiply
    253,344.78x = 349,601.31 × 140,160.78
  4. Step 4: Simplify right side
    253,344.78x = 49,000,392,298.62
  5. Step 5: Solve for x
    x = 49,000,392,298.62/253,344.78
  6. Step 6: Final answer
    x = 193,413.86

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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.