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Finding the Fourth Proportional to 69,576.75, 104,382.41 and 20,328.75

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Solution

The fourth proportional to 69,576.75, 104,382.41 and 20,328.75 is: 30,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,576.75 : 104,382.41 = 20,328.75 : x
  2. Step 2: Convert to fraction form
    69,576.75/104,382.41 = 20,328.75/x
  3. Step 3: Cross multiply
    69,576.75x = 104,382.41 × 20,328.75
  4. Step 4: Simplify right side
    69,576.75x = 2,121,963,815.64
  5. Step 5: Solve for x
    x = 2,121,963,815.64/69,576.75
  6. Step 6: Final answer
    x = 30,498.17

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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.