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Finding the Fourth Proportional to 251,680.25, 347,319.42 and 138,503

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Solution

The fourth proportional to 251,680.25, 347,319.42 and 138,503 is: 191,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,680.25 : 347,319.42 = 138,503 : x
  2. Step 2: Convert to fraction form
    251,680.25/347,319.42 = 138,503/x
  3. Step 3: Cross multiply
    251,680.25x = 347,319.42 × 138,503
  4. Step 4: Simplify right side
    251,680.25x = 48,104,781,628.26
  5. Step 5: Solve for x
    x = 48,104,781,628.26/251,680.25
  6. Step 6: Final answer
    x = 191,134.51

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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.