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Finding the Fourth Proportional to 252,081.88, 347,880.31 and 138,911.92

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Solution

The fourth proportional to 252,081.88, 347,880.31 and 138,911.92 is: 191,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,081.88 : 347,880.31 = 138,911.92 : x
  2. Step 2: Convert to fraction form
    252,081.88/347,880.31 = 138,911.92/x
  3. Step 3: Cross multiply
    252,081.88x = 347,880.31 × 138,911.92
  4. Step 4: Simplify right side
    252,081.88x = 48,324,719,705.61
  5. Step 5: Solve for x
    x = 48,324,719,705.61/252,081.88
  6. Step 6: Final answer
    x = 191,702.48

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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.