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Finding the Fourth Proportional to 251,889.44, 347,609.78 and 138,713

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Solution

The fourth proportional to 251,889.44, 347,609.78 and 138,713 is: 191,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,889.44 : 347,609.78 = 138,713 : x
  2. Step 2: Convert to fraction form
    251,889.44/347,609.78 = 138,713/x
  3. Step 3: Cross multiply
    251,889.44x = 347,609.78 × 138,713
  4. Step 4: Simplify right side
    251,889.44x = 48,217,995,413.14
  5. Step 5: Solve for x
    x = 48,217,995,413.14/251,889.44
  6. Step 6: Final answer
    x = 191,425.24

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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.