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Finding the Fourth Proportional to 68,128, 102,197.76 and 18,880

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Solution

The fourth proportional to 68,128, 102,197.76 and 18,880 is: 28,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,128 : 102,197.76 = 18,880 : x
  2. Step 2: Convert to fraction form
    68,128/102,197.76 = 18,880/x
  3. Step 3: Cross multiply
    68,128x = 102,197.76 × 18,880
  4. Step 4: Simplify right side
    68,128x = 1,929,493,708.80
  5. Step 5: Solve for x
    x = 1,929,493,708.80/68,128
  6. Step 6: Final answer
    x = 28,321.60

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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.