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Finding the Fourth Proportional to 263,120, 363,105.60 and 143,888

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Solution

The fourth proportional to 263,120, 363,105.60 and 143,888 is: 198,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,120 : 363,105.60 = 143,888 : x
  2. Step 2: Convert to fraction form
    263,120/363,105.60 = 143,888/x
  3. Step 3: Cross multiply
    263,120x = 363,105.60 × 143,888
  4. Step 4: Simplify right side
    263,120x = 52,246,538,572.80
  5. Step 5: Solve for x
    x = 52,246,538,572.80/263,120
  6. Step 6: Final answer
    x = 198,565.44

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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.