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Finding the Fourth Proportional to 197,135.60, 295,776.30 and 78,891.80

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Solution

The fourth proportional to 197,135.60, 295,776.30 and 78,891.80 is: 118,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,135.60 : 295,776.30 = 78,891.80 : x
  2. Step 2: Convert to fraction form
    197,135.60/295,776.30 = 78,891.80/x
  3. Step 3: Cross multiply
    197,135.60x = 295,776.30 × 78,891.80
  4. Step 4: Simplify right side
    197,135.60x = 23,334,324,704.34
  5. Step 5: Solve for x
    x = 23,334,324,704.34/197,135.60
  6. Step 6: Final answer
    x = 118,366.87

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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.