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Finding the Fourth Proportional to 45,024, 67,540.80 and 12,192

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Solution

The fourth proportional to 45,024, 67,540.80 and 12,192 is: 18,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,024 : 67,540.80 = 12,192 : x
  2. Step 2: Convert to fraction form
    45,024/67,540.80 = 12,192/x
  3. Step 3: Cross multiply
    45,024x = 67,540.80 × 12,192
  4. Step 4: Simplify right side
    45,024x = 823,457,433.60
  5. Step 5: Solve for x
    x = 823,457,433.60/45,024
  6. Step 6: Final answer
    x = 18,289.30

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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.