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Finding the Fourth Proportional to 118,938.78, 178,408.17 and 47,883.15

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Solution

The fourth proportional to 118,938.78, 178,408.17 and 47,883.15 is: 71,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,938.78 : 178,408.17 = 47,883.15 : x
  2. Step 2: Convert to fraction form
    118,938.78/178,408.17 = 47,883.15/x
  3. Step 3: Cross multiply
    118,938.78x = 178,408.17 × 47,883.15
  4. Step 4: Simplify right side
    118,938.78x = 8,542,745,165.34
  5. Step 5: Solve for x
    x = 8,542,745,165.34/118,938.78
  6. Step 6: Final answer
    x = 71,824.73

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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.