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Finding the Fourth Proportional to 69,454, 104,198.64 and 20,206

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Solution

The fourth proportional to 69,454, 104,198.64 and 20,206 is: 30,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,454 : 104,198.64 = 20,206 : x
  2. Step 2: Convert to fraction form
    69,454/104,198.64 = 20,206/x
  3. Step 3: Cross multiply
    69,454x = 104,198.64 × 20,206
  4. Step 4: Simplify right side
    69,454x = 2,105,437,719.84
  5. Step 5: Solve for x
    x = 2,105,437,719.84/69,454
  6. Step 6: Final answer
    x = 30,314.13

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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.