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Finding the Fourth Proportional to 143,672.44, 198,266.88 and 83,241.80

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Solution

The fourth proportional to 143,672.44, 198,266.88 and 83,241.80 is: 114,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,672.44 : 198,266.88 = 83,241.80 : x
  2. Step 2: Convert to fraction form
    143,672.44/198,266.88 = 83,241.80/x
  3. Step 3: Cross multiply
    143,672.44x = 198,266.88 × 83,241.80
  4. Step 4: Simplify right side
    143,672.44x = 16,504,091,971.58
  5. Step 5: Solve for x
    x = 16,504,091,971.58/143,672.44
  6. Step 6: Final answer
    x = 114,873.05

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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.