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Finding the Fourth Proportional to 251,906.33, 347,617.90 and 138,707.21

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Solution

The fourth proportional to 251,906.33, 347,617.90 and 138,707.21 is: 191,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,906.33 : 347,617.90 = 138,707.21 : x
  2. Step 2: Convert to fraction form
    251,906.33/347,617.90 = 138,707.21/x
  3. Step 3: Cross multiply
    251,906.33x = 347,617.90 × 138,707.21
  4. Step 4: Simplify right side
    251,906.33x = 48,217,109,055.06
  5. Step 5: Solve for x
    x = 48,217,109,055.06/251,906.33
  6. Step 6: Final answer
    x = 191,408.88

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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.