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Finding the Fourth Proportional to 143,912.84, 198,597.83 and 83,493.86

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Solution

The fourth proportional to 143,912.84, 198,597.83 and 83,493.86 is: 115,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,912.84 : 198,597.83 = 83,493.86 : x
  2. Step 2: Convert to fraction form
    143,912.84/198,597.83 = 83,493.86/x
  3. Step 3: Cross multiply
    143,912.84x = 198,597.83 × 83,493.86
  4. Step 4: Simplify right side
    143,912.84x = 16,581,698,003.87
  5. Step 5: Solve for x
    x = 16,581,698,003.87/143,912.84
  6. Step 6: Final answer
    x = 115,220.42

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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.