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Finding the Fourth Proportional to 143,073.84, 214,821.42 and 80,017.50

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Solution

The fourth proportional to 143,073.84, 214,821.42 and 80,017.50 is: 120,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,073.84 : 214,821.42 = 80,017.50 : x
  2. Step 2: Convert to fraction form
    143,073.84/214,821.42 = 80,017.50/x
  3. Step 3: Cross multiply
    143,073.84x = 214,821.42 × 80,017.50
  4. Step 4: Simplify right side
    143,073.84x = 17,189,472,974.85
  5. Step 5: Solve for x
    x = 17,189,472,974.85/143,073.84
  6. Step 6: Final answer
    x = 120,144.07

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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.