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Finding the Fourth Proportional to 196,819.20, 295,228.80 and 72,208.80

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Solution

The fourth proportional to 196,819.20, 295,228.80 and 72,208.80 is: 108,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,819.20 : 295,228.80 = 72,208.80 : x
  2. Step 2: Convert to fraction form
    196,819.20/295,228.80 = 72,208.80/x
  3. Step 3: Cross multiply
    196,819.20x = 295,228.80 × 72,208.80
  4. Step 4: Simplify right side
    196,819.20x = 21,318,117,373.44
  5. Step 5: Solve for x
    x = 21,318,117,373.44/196,819.20
  6. Step 6: Final answer
    x = 108,313.20

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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.