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Finding the Fourth Proportional to 251,481.94, 347,038.14 and 138,304.78

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Solution

The fourth proportional to 251,481.94, 347,038.14 and 138,304.78 is: 190,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,481.94 : 347,038.14 = 138,304.78 : x
  2. Step 2: Convert to fraction form
    251,481.94/347,038.14 = 138,304.78/x
  3. Step 3: Cross multiply
    251,481.94x = 347,038.14 × 138,304.78
  4. Step 4: Simplify right side
    251,481.94x = 47,997,033,604.31
  5. Step 5: Solve for x
    x = 47,997,033,604.31/251,481.94
  6. Step 6: Final answer
    x = 190,856.78

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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.