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Finding the Fourth Proportional to 263,528.73, 363,672.50 and 142,672.55

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Solution

The fourth proportional to 263,528.73, 363,672.50 and 142,672.55 is: 196,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,528.73 : 363,672.50 = 142,672.55 : x
  2. Step 2: Convert to fraction form
    263,528.73/363,672.50 = 142,672.55/x
  3. Step 3: Cross multiply
    263,528.73x = 363,672.50 × 142,672.55
  4. Step 4: Simplify right side
    263,528.73x = 51,886,080,408.15
  5. Step 5: Solve for x
    x = 51,886,080,408.15/263,528.73
  6. Step 6: Final answer
    x = 196,889.65

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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.