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Finding the Fourth Proportional to 69,872.88, 96,408.16 and 39,651.36

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Solution

The fourth proportional to 69,872.88, 96,408.16 and 39,651.36 is: 54,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,872.88 : 96,408.16 = 39,651.36 : x
  2. Step 2: Convert to fraction form
    69,872.88/96,408.16 = 39,651.36/x
  3. Step 3: Cross multiply
    69,872.88x = 96,408.16 × 39,651.36
  4. Step 4: Simplify right side
    69,872.88x = 3,822,714,659.10
  5. Step 5: Solve for x
    x = 3,822,714,659.10/69,872.88
  6. Step 6: Final answer
    x = 54,709.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.