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Finding the Fourth Proportional to 143,662.68, 198,241.80 and 83,214

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Solution

The fourth proportional to 143,662.68, 198,241.80 and 83,214 is: 114,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,662.68 : 198,241.80 = 83,214 : x
  2. Step 2: Convert to fraction form
    143,662.68/198,241.80 = 83,214/x
  3. Step 3: Cross multiply
    143,662.68x = 198,241.80 × 83,214
  4. Step 4: Simplify right side
    143,662.68x = 16,496,493,145.20
  5. Step 5: Solve for x
    x = 16,496,493,145.20/143,662.68
  6. Step 6: Final answer
    x = 114,827.96

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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.