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Finding the Fourth Proportional to 95,760, 143,640 and 30,096

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Solution

The fourth proportional to 95,760, 143,640 and 30,096 is: 45,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,760 : 143,640 = 30,096 : x
  2. Step 2: Convert to fraction form
    95,760/143,640 = 30,096/x
  3. Step 3: Cross multiply
    95,760x = 143,640 × 30,096
  4. Step 4: Simplify right side
    95,760x = 4,322,989,440
  5. Step 5: Solve for x
    x = 4,322,989,440/95,760
  6. Step 6: Final answer
    x = 45,144

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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.