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Finding the Fourth Proportional to 143,622, 198,233.27 and 83,182.89

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Solution

The fourth proportional to 143,622, 198,233.27 and 83,182.89 is: 114,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,622 : 198,233.27 = 83,182.89 : x
  2. Step 2: Convert to fraction form
    143,622/198,233.27 = 83,182.89/x
  3. Step 3: Cross multiply
    143,622x = 198,233.27 × 83,182.89
  4. Step 4: Simplify right side
    143,622x = 16,489,616,292.75
  5. Step 5: Solve for x
    x = 16,489,616,292.75/143,622
  6. Step 6: Final answer
    x = 114,812.61

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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.