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Finding the Fourth Proportional to 30,168, 41,631.84 and 16,920

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Solution

The fourth proportional to 30,168, 41,631.84 and 16,920 is: 23,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168 : 41,631.84 = 16,920 : x
  2. Step 2: Convert to fraction form
    30,168/41,631.84 = 16,920/x
  3. Step 3: Cross multiply
    30,168x = 41,631.84 × 16,920
  4. Step 4: Simplify right side
    30,168x = 704,410,732.80
  5. Step 5: Solve for x
    x = 704,410,732.80/30,168
  6. Step 6: Final answer
    x = 23,349.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.