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Finding the Fourth Proportional to 251,876.44, 347,591.82 and 138,700

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Solution

The fourth proportional to 251,876.44, 347,591.82 and 138,700 is: 191,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,876.44 : 347,591.82 = 138,700 : x
  2. Step 2: Convert to fraction form
    251,876.44/347,591.82 = 138,700/x
  3. Step 3: Cross multiply
    251,876.44x = 347,591.82 × 138,700
  4. Step 4: Simplify right side
    251,876.44x = 48,210,985,434
  5. Step 5: Solve for x
    x = 48,210,985,434/251,876.44
  6. Step 6: Final answer
    x = 191,407.28

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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.