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Finding the Fourth Proportional to 78,199.36, 107,813.60 and 49,855.84

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Solution

The fourth proportional to 78,199.36, 107,813.60 and 49,855.84 is: 68,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,199.36 : 107,813.60 = 49,855.84 : x
  2. Step 2: Convert to fraction form
    78,199.36/107,813.60 = 49,855.84/x
  3. Step 3: Cross multiply
    78,199.36x = 107,813.60 × 49,855.84
  4. Step 4: Simplify right side
    78,199.36x = 5,375,137,591.42
  5. Step 5: Solve for x
    x = 5,375,137,591.42/78,199.36
  6. Step 6: Final answer
    x = 68,736.34

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1.5x scale

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.