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Finding the Fourth Proportional to 143,704.24, 198,311.90 and 83,309.90

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Solution

The fourth proportional to 143,704.24, 198,311.90 and 83,309.90 is: 114,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,704.24 : 198,311.90 = 83,309.90 : x
  2. Step 2: Convert to fraction form
    143,704.24/198,311.90 = 83,309.90/x
  3. Step 3: Cross multiply
    143,704.24x = 198,311.90 × 83,309.90
  4. Step 4: Simplify right side
    143,704.24x = 16,521,343,149.70
  5. Step 5: Solve for x
    x = 16,521,343,149.70/143,704.24
  6. Step 6: Final answer
    x = 114,967.68

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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.