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Finding the Fourth Proportional to 69,424.70, 104,120.78 and 19,509.57

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Solution

The fourth proportional to 69,424.70, 104,120.78 and 19,509.57 is: 29,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,424.70 : 104,120.78 = 19,509.57 : x
  2. Step 2: Convert to fraction form
    69,424.70/104,120.78 = 19,509.57/x
  3. Step 3: Cross multiply
    69,424.70x = 104,120.78 × 19,509.57
  4. Step 4: Simplify right side
    69,424.70x = 2,031,351,548.32
  5. Step 5: Solve for x
    x = 2,031,351,548.32/69,424.70
  6. Step 6: Final answer
    x = 29,259.78

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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.