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Finding the Fourth Proportional to 263,601.81, 363,772.22 and 142,743.11

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Solution

The fourth proportional to 263,601.81, 363,772.22 and 142,743.11 is: 196,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,601.81 : 363,772.22 = 142,743.11 : x
  2. Step 2: Convert to fraction form
    263,601.81/363,772.22 = 142,743.11/x
  3. Step 3: Cross multiply
    263,601.81x = 363,772.22 × 142,743.11
  4. Step 4: Simplify right side
    263,601.81x = 51,925,975,481.83
  5. Step 5: Solve for x
    x = 51,925,975,481.83/263,601.81
  6. Step 6: Final answer
    x = 196,986.41

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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.