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Finding the Fourth Proportional to 69,305.63, 103,872.32 and 31,825.94

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Solution

The fourth proportional to 69,305.63, 103,872.32 and 31,825.94 is: 47,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,305.63 : 103,872.32 = 31,825.94 : x
  2. Step 2: Convert to fraction form
    69,305.63/103,872.32 = 31,825.94/x
  3. Step 3: Cross multiply
    69,305.63x = 103,872.32 × 31,825.94
  4. Step 4: Simplify right side
    69,305.63x = 3,305,834,064.85
  5. Step 5: Solve for x
    x = 3,305,834,064.85/69,305.63
  6. Step 6: Final answer
    x = 47,699.36

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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.