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Finding the Fourth Proportional to 263,137, 363,137.70 and 143,905

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Solution

The fourth proportional to 263,137, 363,137.70 and 143,905 is: 198,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,137 : 363,137.70 = 143,905 : x
  2. Step 2: Convert to fraction form
    263,137/363,137.70 = 143,905/x
  3. Step 3: Cross multiply
    263,137x = 363,137.70 × 143,905
  4. Step 4: Simplify right side
    263,137x = 52,257,330,718.50
  5. Step 5: Solve for x
    x = 52,257,330,718.50/263,137
  6. Step 6: Final answer
    x = 198,593.63

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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.