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Finding the Fourth Proportional to 178,114.82, 267,170.49 and 76,984.39

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Solution

The fourth proportional to 178,114.82, 267,170.49 and 76,984.39 is: 115,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,114.82 : 267,170.49 = 76,984.39 : x
  2. Step 2: Convert to fraction form
    178,114.82/267,170.49 = 76,984.39/x
  3. Step 3: Cross multiply
    178,114.82x = 267,170.49 × 76,984.39
  4. Step 4: Simplify right side
    178,114.82x = 20,567,957,532.61
  5. Step 5: Solve for x
    x = 20,567,957,532.61/178,114.82
  6. Step 6: Final answer
    x = 115,475.84

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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.