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Finding the Fourth Proportional to 251,906.24, 347,630.64 and 138,728

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Solution

The fourth proportional to 251,906.24, 347,630.64 and 138,728 is: 191,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,906.24 : 347,630.64 = 138,728 : x
  2. Step 2: Convert to fraction form
    251,906.24/347,630.64 = 138,728/x
  3. Step 3: Cross multiply
    251,906.24x = 347,630.64 × 138,728
  4. Step 4: Simplify right side
    251,906.24x = 48,226,103,425.92
  5. Step 5: Solve for x
    x = 48,226,103,425.92/251,906.24
  6. Step 6: Final answer
    x = 191,444.66

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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.