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Finding the Fourth Proportional to 263,641.96, 363,823.92 and 142,780.42

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Solution

The fourth proportional to 263,641.96, 363,823.92 and 142,780.42 is: 197,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,641.96 : 363,823.92 = 142,780.42 : x
  2. Step 2: Convert to fraction form
    263,641.96/363,823.92 = 142,780.42/x
  3. Step 3: Cross multiply
    263,641.96x = 363,823.92 × 142,780.42
  4. Step 4: Simplify right side
    263,641.96x = 51,946,932,103.65
  5. Step 5: Solve for x
    x = 51,946,932,103.65/263,641.96
  6. Step 6: Final answer
    x = 197,035.90

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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.