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Finding the Fourth Proportional to 197,315.20, 295,972.80 and 72,704.80

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Solution

The fourth proportional to 197,315.20, 295,972.80 and 72,704.80 is: 109,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,315.20 : 295,972.80 = 72,704.80 : x
  2. Step 2: Convert to fraction form
    197,315.20/295,972.80 = 72,704.80/x
  3. Step 3: Cross multiply
    197,315.20x = 295,972.80 × 72,704.80
  4. Step 4: Simplify right side
    197,315.20x = 21,518,643,229.44
  5. Step 5: Solve for x
    x = 21,518,643,229.44/197,315.20
  6. Step 6: Final answer
    x = 109,057.20

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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.