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Finding the Fourth Proportional to 69,438, 104,174.64 and 20,190

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Solution

The fourth proportional to 69,438, 104,174.64 and 20,190 is: 30,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,438 : 104,174.64 = 20,190 : x
  2. Step 2: Convert to fraction form
    69,438/104,174.64 = 20,190/x
  3. Step 3: Cross multiply
    69,438x = 104,174.64 × 20,190
  4. Step 4: Simplify right side
    69,438x = 2,103,285,981.60
  5. Step 5: Solve for x
    x = 2,103,285,981.60/69,438
  6. Step 6: Final answer
    x = 30,290.13

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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.