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Finding the Fourth Proportional to 143,983.50, 198,697.50 and 80,325.42

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Solution

The fourth proportional to 143,983.50, 198,697.50 and 80,325.42 is: 110,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,983.50 : 198,697.50 = 80,325.42 : x
  2. Step 2: Convert to fraction form
    143,983.50/198,697.50 = 80,325.42/x
  3. Step 3: Cross multiply
    143,983.50x = 198,697.50 × 80,325.42
  4. Step 4: Simplify right side
    143,983.50x = 15,960,460,140.45
  5. Step 5: Solve for x
    x = 15,960,460,140.45/143,983.50
  6. Step 6: Final answer
    x = 110,849.23

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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.