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Finding the Fourth Proportional to 69,453, 104,197.14 and 20,205

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Solution

The fourth proportional to 69,453, 104,197.14 and 20,205 is: 30,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,453 : 104,197.14 = 20,205 : x
  2. Step 2: Convert to fraction form
    69,453/104,197.14 = 20,205/x
  3. Step 3: Cross multiply
    69,453x = 104,197.14 × 20,205
  4. Step 4: Simplify right side
    69,453x = 2,105,303,213.70
  5. Step 5: Solve for x
    x = 2,105,303,213.70/69,453
  6. Step 6: Final answer
    x = 30,312.63

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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.