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Finding the Fourth Proportional to 69,993, 104,989.50 and 20,745

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Solution

The fourth proportional to 69,993, 104,989.50 and 20,745 is: 31,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,993 : 104,989.50 = 20,745 : x
  2. Step 2: Convert to fraction form
    69,993/104,989.50 = 20,745/x
  3. Step 3: Cross multiply
    69,993x = 104,989.50 × 20,745
  4. Step 4: Simplify right side
    69,993x = 2,178,007,177.50
  5. Step 5: Solve for x
    x = 2,178,007,177.50/69,993
  6. Step 6: Final answer
    x = 31,117.50

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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.