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Finding the Fourth Proportional to 69,434, 104,168.76 and 20,186

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Solution

The fourth proportional to 69,434, 104,168.76 and 20,186 is: 30,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,434 : 104,168.76 = 20,186 : x
  2. Step 2: Convert to fraction form
    69,434/104,168.76 = 20,186/x
  3. Step 3: Cross multiply
    69,434x = 104,168.76 × 20,186
  4. Step 4: Simplify right side
    69,434x = 2,102,750,589.36
  5. Step 5: Solve for x
    x = 2,102,750,589.36/69,434
  6. Step 6: Final answer
    x = 30,284.16

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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.