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Finding the Fourth Proportional to 263,121, 363,106.98 and 143,889

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Solution

The fourth proportional to 263,121, 363,106.98 and 143,889 is: 198,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,121 : 363,106.98 = 143,889 : x
  2. Step 2: Convert to fraction form
    263,121/363,106.98 = 143,889/x
  3. Step 3: Cross multiply
    263,121x = 363,106.98 × 143,889
  4. Step 4: Simplify right side
    263,121x = 52,247,100,245.22
  5. Step 5: Solve for x
    x = 52,247,100,245.22/263,121
  6. Step 6: Final answer
    x = 198,566.82

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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.