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Finding the Fourth Proportional to 68,033.80, 102,002.10 and 30,563.20

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Solution

The fourth proportional to 68,033.80, 102,002.10 and 30,563.20 is: 45,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033.80 : 102,002.10 = 30,563.20 : x
  2. Step 2: Convert to fraction form
    68,033.80/102,002.10 = 30,563.20/x
  3. Step 3: Cross multiply
    68,033.80x = 102,002.10 × 30,563.20
  4. Step 4: Simplify right side
    68,033.80x = 3,117,510,582.72
  5. Step 5: Solve for x
    x = 3,117,510,582.72/68,033.80
  6. Step 6: Final answer
    x = 45,822.97

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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.