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Finding the Fourth Proportional to 251,924.91, 347,640.42 and 138,747.66

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Solution

The fourth proportional to 251,924.91, 347,640.42 and 138,747.66 is: 191,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,924.91 : 347,640.42 = 138,747.66 : x
  2. Step 2: Convert to fraction form
    251,924.91/347,640.42 = 138,747.66/x
  3. Step 3: Cross multiply
    251,924.91x = 347,640.42 × 138,747.66
  4. Step 4: Simplify right side
    251,924.91x = 48,234,294,796.42
  5. Step 5: Solve for x
    x = 48,234,294,796.42/251,924.91
  6. Step 6: Final answer
    x = 191,462.98

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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.