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Finding the Fourth Proportional to 80,586.30, 120,850.77 and 30,653.10

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Solution

The fourth proportional to 80,586.30, 120,850.77 and 30,653.10 is: 45,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,586.30 : 120,850.77 = 30,653.10 : x
  2. Step 2: Convert to fraction form
    80,586.30/120,850.77 = 30,653.10/x
  3. Step 3: Cross multiply
    80,586.30x = 120,850.77 × 30,653.10
  4. Step 4: Simplify right side
    80,586.30x = 3,704,450,737.89
  5. Step 5: Solve for x
    x = 3,704,450,737.89/80,586.30
  6. Step 6: Final answer
    x = 45,968.74

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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.