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Finding the Fourth Proportional to 77,874.02, 116,811.02 and 21,711.86

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Solution

The fourth proportional to 77,874.02, 116,811.02 and 21,711.86 is: 32,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874.02 : 116,811.02 = 21,711.86 : x
  2. Step 2: Convert to fraction form
    77,874.02/116,811.02 = 21,711.86/x
  3. Step 3: Cross multiply
    77,874.02x = 116,811.02 × 21,711.86
  4. Step 4: Simplify right side
    77,874.02x = 2,536,183,982.92
  5. Step 5: Solve for x
    x = 2,536,183,982.92/77,874.02
  6. Step 6: Final answer
    x = 32,567.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.