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Finding the Fourth Proportional to 178,536.43, 267,874.35 and 78,626.41

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Solution

The fourth proportional to 178,536.43, 267,874.35 and 78,626.41 is: 117,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536.43 : 267,874.35 = 78,626.41 : x
  2. Step 2: Convert to fraction form
    178,536.43/267,874.35 = 78,626.41/x
  3. Step 3: Cross multiply
    178,536.43x = 267,874.35 × 78,626.41
  4. Step 4: Simplify right side
    178,536.43x = 21,061,998,436.59
  5. Step 5: Solve for x
    x = 21,061,998,436.59/178,536.43
  6. Step 6: Final answer
    x = 117,970.31

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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.