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Finding the Fourth Proportional to 103,165.70, 154,723.94 and 53,220.09

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Solution

The fourth proportional to 103,165.70, 154,723.94 and 53,220.09 is: 79,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.70 : 154,723.94 = 53,220.09 : x
  2. Step 2: Convert to fraction form
    103,165.70/154,723.94 = 53,220.09/x
  3. Step 3: Cross multiply
    103,165.70x = 154,723.94 × 53,220.09
  4. Step 4: Simplify right side
    103,165.70x = 8,234,421,745.85
  5. Step 5: Solve for x
    x = 8,234,421,745.85/103,165.70
  6. Step 6: Final answer
    x = 79,817.44

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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.