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Finding the Fourth Proportional to 178,096, 267,144 and 79,600

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Solution

The fourth proportional to 178,096, 267,144 and 79,600 is: 119,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,096 : 267,144 = 79,600 : x
  2. Step 2: Convert to fraction form
    178,096/267,144 = 79,600/x
  3. Step 3: Cross multiply
    178,096x = 267,144 × 79,600
  4. Step 4: Simplify right side
    178,096x = 21,264,662,400
  5. Step 5: Solve for x
    x = 21,264,662,400/178,096
  6. Step 6: Final answer
    x = 119,400

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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.