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Finding the Fourth Proportional to 251,713.80, 347,354.82 and 138,537

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Solution

The fourth proportional to 251,713.80, 347,354.82 and 138,537 is: 191,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,713.80 : 347,354.82 = 138,537 : x
  2. Step 2: Convert to fraction form
    251,713.80/347,354.82 = 138,537/x
  3. Step 3: Cross multiply
    251,713.80x = 347,354.82 × 138,537
  4. Step 4: Simplify right side
    251,713.80x = 48,121,494,698.34
  5. Step 5: Solve for x
    x = 48,121,494,698.34/251,713.80
  6. Step 6: Final answer
    x = 191,175.43

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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.