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Finding the Fourth Proportional to 78,883.58, 108,797.64 and 50,591.90

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Solution

The fourth proportional to 78,883.58, 108,797.64 and 50,591.90 is: 69,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,883.58 : 108,797.64 = 50,591.90 : x
  2. Step 2: Convert to fraction form
    78,883.58/108,797.64 = 50,591.90/x
  3. Step 3: Cross multiply
    78,883.58x = 108,797.64 × 50,591.90
  4. Step 4: Simplify right side
    78,883.58x = 5,504,279,323.12
  5. Step 5: Solve for x
    x = 5,504,279,323.12/78,883.58
  6. Step 6: Final answer
    x = 69,777.25

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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.