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Finding the Fourth Proportional to 196,615.20, 294,922.80 and 72,004.80

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Solution

The fourth proportional to 196,615.20, 294,922.80 and 72,004.80 is: 108,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,615.20 : 294,922.80 = 72,004.80 : x
  2. Step 2: Convert to fraction form
    196,615.20/294,922.80 = 72,004.80/x
  3. Step 3: Cross multiply
    196,615.20x = 294,922.80 × 72,004.80
  4. Step 4: Simplify right side
    196,615.20x = 21,235,857,229.44
  5. Step 5: Solve for x
    x = 21,235,857,229.44/196,615.20
  6. Step 6: Final answer
    x = 108,007.20

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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.