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Finding the Fourth Proportional to 144,896.58, 199,961.46 and 81,235.44

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Solution

The fourth proportional to 144,896.58, 199,961.46 and 81,235.44 is: 112,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896.58 : 199,961.46 = 81,235.44 : x
  2. Step 2: Convert to fraction form
    144,896.58/199,961.46 = 81,235.44/x
  3. Step 3: Cross multiply
    144,896.58x = 199,961.46 × 81,235.44
  4. Step 4: Simplify right side
    144,896.58x = 16,243,957,186.14
  5. Step 5: Solve for x
    x = 16,243,957,186.14/144,896.58
  6. Step 6: Final answer
    x = 112,107.25

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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.