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Finding the Fourth Proportional to 103,766.73, 155,408.74 and 100,170.85

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Solution

The fourth proportional to 103,766.73, 155,408.74 and 100,170.85 is: 150,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,766.73 : 155,408.74 = 100,170.85 : x
  2. Step 2: Convert to fraction form
    103,766.73/155,408.74 = 100,170.85/x
  3. Step 3: Cross multiply
    103,766.73x = 155,408.74 × 100,170.85
  4. Step 4: Simplify right side
    103,766.73x = 15,567,426,222.18
  5. Step 5: Solve for x
    x = 15,567,426,222.18/103,766.73
  6. Step 6: Final answer
    x = 150,023.29

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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.