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Finding the Fourth Proportional to 144,571.75, 199,530 and 83,306.02

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Solution

The fourth proportional to 144,571.75, 199,530 and 83,306.02 is: 114,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,571.75 : 199,530 = 83,306.02 : x
  2. Step 2: Convert to fraction form
    144,571.75/199,530 = 83,306.02/x
  3. Step 3: Cross multiply
    144,571.75x = 199,530 × 83,306.02
  4. Step 4: Simplify right side
    144,571.75x = 16,622,050,170.60
  5. Step 5: Solve for x
    x = 16,622,050,170.60/144,571.75
  6. Step 6: Final answer
    x = 114,974.40

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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.