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Finding the Fourth Proportional to 151,768, 227,652 and 40,960

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Solution

The fourth proportional to 151,768, 227,652 and 40,960 is: 61,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,768 : 227,652 = 40,960 : x
  2. Step 2: Convert to fraction form
    151,768/227,652 = 40,960/x
  3. Step 3: Cross multiply
    151,768x = 227,652 × 40,960
  4. Step 4: Simplify right side
    151,768x = 9,324,625,920
  5. Step 5: Solve for x
    x = 9,324,625,920/151,768
  6. Step 6: Final answer
    x = 61,440

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.