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Finding the Fourth Proportional to 102,992.20, 154,401.90 and 53,744.20

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Solution

The fourth proportional to 102,992.20, 154,401.90 and 53,744.20 is: 80,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.20 : 154,401.90 = 53,744.20 : x
  2. Step 2: Convert to fraction form
    102,992.20/154,401.90 = 53,744.20/x
  3. Step 3: Cross multiply
    102,992.20x = 154,401.90 × 53,744.20
  4. Step 4: Simplify right side
    102,992.20x = 8,298,206,593.98
  5. Step 5: Solve for x
    x = 8,298,206,593.98/102,992.20
  6. Step 6: Final answer
    x = 80,571.21

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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.