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Finding the Fourth Proportional to 253,137.25, 349,315.03 and 138,394.58

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Solution

The fourth proportional to 253,137.25, 349,315.03 and 138,394.58 is: 190,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,137.25 : 349,315.03 = 138,394.58 : x
  2. Step 2: Convert to fraction form
    253,137.25/349,315.03 = 138,394.58/x
  3. Step 3: Cross multiply
    253,137.25x = 349,315.03 × 138,394.58
  4. Step 4: Simplify right side
    253,137.25x = 48,343,305,290.96
  5. Step 5: Solve for x
    x = 48,343,305,290.96/253,137.25
  6. Step 6: Final answer
    x = 190,976.65

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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.