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Finding the Fourth Proportional to 56,832, 85,249.44 and 19,896

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Solution

The fourth proportional to 56,832, 85,249.44 and 19,896 is: 29,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,832 : 85,249.44 = 19,896 : x
  2. Step 2: Convert to fraction form
    56,832/85,249.44 = 19,896/x
  3. Step 3: Cross multiply
    56,832x = 85,249.44 × 19,896
  4. Step 4: Simplify right side
    56,832x = 1,696,122,858.24
  5. Step 5: Solve for x
    x = 1,696,122,858.24/56,832
  6. Step 6: Final answer
    x = 29,844.50

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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.