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Finding the Fourth Proportional to 68,245.87, 102,369.05 and 20,860.77

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Solution

The fourth proportional to 68,245.87, 102,369.05 and 20,860.77 is: 31,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,245.87 : 102,369.05 = 20,860.77 : x
  2. Step 2: Convert to fraction form
    68,245.87/102,369.05 = 20,860.77/x
  3. Step 3: Cross multiply
    68,245.87x = 102,369.05 × 20,860.77
  4. Step 4: Simplify right side
    68,245.87x = 2,135,496,701.24
  5. Step 5: Solve for x
    x = 2,135,496,701.24/68,245.87
  6. Step 6: Final answer
    x = 31,291.22

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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.