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Finding the Fourth Proportional to 69,465, 104,200.38 and 20,217

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Solution

The fourth proportional to 69,465, 104,200.38 and 20,217 is: 30,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,465 : 104,200.38 = 20,217 : x
  2. Step 2: Convert to fraction form
    69,465/104,200.38 = 20,217/x
  3. Step 3: Cross multiply
    69,465x = 104,200.38 × 20,217
  4. Step 4: Simplify right side
    69,465x = 2,106,619,082.46
  5. Step 5: Solve for x
    x = 2,106,619,082.46/69,465
  6. Step 6: Final answer
    x = 30,326.34

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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.