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Finding the Fourth Proportional to 143,073.33, 214,820.67 and 80,017

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Solution

The fourth proportional to 143,073.33, 214,820.67 and 80,017 is: 120,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,073.33 : 214,820.67 = 80,017 : x
  2. Step 2: Convert to fraction form
    143,073.33/214,820.67 = 80,017/x
  3. Step 3: Cross multiply
    143,073.33x = 214,820.67 × 80,017
  4. Step 4: Simplify right side
    143,073.33x = 17,189,305,551.39
  5. Step 5: Solve for x
    x = 17,189,305,551.39/143,073.33
  6. Step 6: Final answer
    x = 120,143.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.