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Finding the Fourth Proportional to 144,858.82, 199,914.41 and 81,196.63

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Solution

The fourth proportional to 144,858.82, 199,914.41 and 81,196.63 is: 112,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,858.82 : 199,914.41 = 81,196.63 : x
  2. Step 2: Convert to fraction form
    144,858.82/199,914.41 = 81,196.63/x
  3. Step 3: Cross multiply
    144,858.82x = 199,914.41 × 81,196.63
  4. Step 4: Simplify right side
    144,858.82x = 16,232,376,380.44
  5. Step 5: Solve for x
    x = 16,232,376,380.44/144,858.82
  6. Step 6: Final answer
    x = 112,056.53

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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.