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Finding the Fourth Proportional to 69,431.53, 104,147.30 and 19,509.61

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Solution

The fourth proportional to 69,431.53, 104,147.30 and 19,509.61 is: 29,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,431.53 : 104,147.30 = 19,509.61 : x
  2. Step 2: Convert to fraction form
    69,431.53/104,147.30 = 19,509.61/x
  3. Step 3: Cross multiply
    69,431.53x = 104,147.30 × 19,509.61
  4. Step 4: Simplify right side
    69,431.53x = 2,031,873,205.55
  5. Step 5: Solve for x
    x = 2,031,873,205.55/69,431.53
  6. Step 6: Final answer
    x = 29,264.42

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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.