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Finding the Fourth Proportional to 80,487.86, 111,078.27 and 46,497.78

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Solution

The fourth proportional to 80,487.86, 111,078.27 and 46,497.78 is: 64,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,487.86 : 111,078.27 = 46,497.78 : x
  2. Step 2: Convert to fraction form
    80,487.86/111,078.27 = 46,497.78/x
  3. Step 3: Cross multiply
    80,487.86x = 111,078.27 × 46,497.78
  4. Step 4: Simplify right side
    80,487.86x = 5,164,892,405.85
  5. Step 5: Solve for x
    x = 5,164,892,405.85/80,487.86
  6. Step 6: Final answer
    x = 64,169.83

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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.