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Finding the Fourth Proportional to 178,119, 267,295.14 and 67,311

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Solution

The fourth proportional to 178,119, 267,295.14 and 67,311 is: 101,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,119 : 267,295.14 = 67,311 : x
  2. Step 2: Convert to fraction form
    178,119/267,295.14 = 67,311/x
  3. Step 3: Cross multiply
    178,119x = 267,295.14 × 67,311
  4. Step 4: Simplify right side
    178,119x = 17,991,903,168.54
  5. Step 5: Solve for x
    x = 17,991,903,168.54/178,119
  6. Step 6: Final answer
    x = 101,010.58

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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.