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Finding the Fourth Proportional to 78,993.68, 109,074.12 and 48,822.80

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Solution

The fourth proportional to 78,993.68, 109,074.12 and 48,822.80 is: 67,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,993.68 : 109,074.12 = 48,822.80 : x
  2. Step 2: Convert to fraction form
    78,993.68/109,074.12 = 48,822.80/x
  3. Step 3: Cross multiply
    78,993.68x = 109,074.12 × 48,822.80
  4. Step 4: Simplify right side
    78,993.68x = 5,325,303,945.94
  5. Step 5: Solve for x
    x = 5,325,303,945.94/78,993.68
  6. Step 6: Final answer
    x = 67,414.30

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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.