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Finding the Fourth Proportional to 78,834.40, 108,793.86 and 44,847.78

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Solution

The fourth proportional to 78,834.40, 108,793.86 and 44,847.78 is: 61,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834.40 : 108,793.86 = 44,847.78 : x
  2. Step 2: Convert to fraction form
    78,834.40/108,793.86 = 44,847.78/x
  3. Step 3: Cross multiply
    78,834.40x = 108,793.86 × 44,847.78
  4. Step 4: Simplify right side
    78,834.40x = 4,879,163,098.63
  5. Step 5: Solve for x
    x = 4,879,163,098.63/78,834.40
  6. Step 6: Final answer
    x = 61,891.29

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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.