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Finding the Fourth Proportional to 69,324.56, 103,970.88 and 19,408.24

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Solution

The fourth proportional to 69,324.56, 103,970.88 and 19,408.24 is: 29,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,324.56 : 103,970.88 = 19,408.24 : x
  2. Step 2: Convert to fraction form
    69,324.56/103,970.88 = 19,408.24/x
  3. Step 3: Cross multiply
    69,324.56x = 103,970.88 × 19,408.24
  4. Step 4: Simplify right side
    69,324.56x = 2,017,891,792.05
  5. Step 5: Solve for x
    x = 2,017,891,792.05/69,324.56
  6. Step 6: Final answer
    x = 29,107.89

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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.