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Finding the Fourth Proportional to 69,047.84, 103,571.87 and 21,016.87

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Solution

The fourth proportional to 69,047.84, 103,571.87 and 21,016.87 is: 31,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,047.84 : 103,571.87 = 21,016.87 : x
  2. Step 2: Convert to fraction form
    69,047.84/103,571.87 = 21,016.87/x
  3. Step 3: Cross multiply
    69,047.84x = 103,571.87 × 21,016.87
  4. Step 4: Simplify right side
    69,047.84x = 2,176,756,163.43
  5. Step 5: Solve for x
    x = 2,176,756,163.43/69,047.84
  6. Step 6: Final answer
    x = 31,525.33

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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.