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Finding the Fourth Proportional to 228,199.20, 342,007.20 and 109,615.20

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Solution

The fourth proportional to 228,199.20, 342,007.20 and 109,615.20 is: 164,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,199.20 : 342,007.20 = 109,615.20 : x
  2. Step 2: Convert to fraction form
    228,199.20/342,007.20 = 109,615.20/x
  3. Step 3: Cross multiply
    228,199.20x = 342,007.20 × 109,615.20
  4. Step 4: Simplify right side
    228,199.20x = 37,489,187,629.44
  5. Step 5: Solve for x
    x = 37,489,187,629.44/228,199.20
  6. Step 6: Final answer
    x = 164,282.73

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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.