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Finding the Fourth Proportional to 80,578.85, 120,868.27 and 30,647.41

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Solution

The fourth proportional to 80,578.85, 120,868.27 and 30,647.41 is: 45,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,578.85 : 120,868.27 = 30,647.41 : x
  2. Step 2: Convert to fraction form
    80,578.85/120,868.27 = 30,647.41/x
  3. Step 3: Cross multiply
    80,578.85x = 120,868.27 × 30,647.41
  4. Step 4: Simplify right side
    80,578.85x = 3,704,299,047.89
  5. Step 5: Solve for x
    x = 3,704,299,047.89/80,578.85
  6. Step 6: Final answer
    x = 45,971.11

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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.