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Finding the Fourth Proportional to 63,840, 95,760 and 20,064

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Solution

The fourth proportional to 63,840, 95,760 and 20,064 is: 30,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,840 : 95,760 = 20,064 : x
  2. Step 2: Convert to fraction form
    63,840/95,760 = 20,064/x
  3. Step 3: Cross multiply
    63,840x = 95,760 × 20,064
  4. Step 4: Simplify right side
    63,840x = 1,921,328,640
  5. Step 5: Solve for x
    x = 1,921,328,640/63,840
  6. Step 6: Final answer
    x = 30,096

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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.