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Finding the Fourth Proportional to 254,859.82, 351,715.57 and 140,147.21

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Solution

The fourth proportional to 254,859.82, 351,715.57 and 140,147.21 is: 193,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,859.82 : 351,715.57 = 140,147.21 : x
  2. Step 2: Convert to fraction form
    254,859.82/351,715.57 = 140,147.21/x
  3. Step 3: Cross multiply
    254,859.82x = 351,715.57 × 140,147.21
  4. Step 4: Simplify right side
    254,859.82x = 49,291,956,377.98
  5. Step 5: Solve for x
    x = 49,291,956,377.98/254,859.82
  6. Step 6: Final answer
    x = 193,408.11

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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.