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Finding the Fourth Proportional to 253,375.92, 349,656 and 140,199.48

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Solution

The fourth proportional to 253,375.92, 349,656 and 140,199.48 is: 193,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,375.92 : 349,656 = 140,199.48 : x
  2. Step 2: Convert to fraction form
    253,375.92/349,656 = 140,199.48/x
  3. Step 3: Cross multiply
    253,375.92x = 349,656 × 140,199.48
  4. Step 4: Simplify right side
    253,375.92x = 49,021,589,378.88
  5. Step 5: Solve for x
    x = 49,021,589,378.88/253,375.92
  6. Step 6: Final answer
    x = 193,473.75

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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.