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Finding the Fourth Proportional to 253,175.25, 349,469.82 and 145,788.09

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Solution

The fourth proportional to 253,175.25, 349,469.82 and 145,788.09 is: 201,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,175.25 : 349,469.82 = 145,788.09 : x
  2. Step 2: Convert to fraction form
    253,175.25/349,469.82 = 145,788.09/x
  3. Step 3: Cross multiply
    253,175.25x = 349,469.82 × 145,788.09
  4. Step 4: Simplify right side
    253,175.25x = 50,948,537,570.44
  5. Step 5: Solve for x
    x = 50,948,537,570.44/253,175.25
  6. Step 6: Final answer
    x = 201,238.22

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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.