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Finding the Fourth Proportional to 143,163.81, 214,729.29 and 37,990.98

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Solution

The fourth proportional to 143,163.81, 214,729.29 and 37,990.98 is: 56,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,163.81 : 214,729.29 = 37,990.98 : x
  2. Step 2: Convert to fraction form
    143,163.81/214,729.29 = 37,990.98/x
  3. Step 3: Cross multiply
    143,163.81x = 214,729.29 × 37,990.98
  4. Step 4: Simplify right side
    143,163.81x = 8,157,776,161.80
  5. Step 5: Solve for x
    x = 8,157,776,161.80/143,163.81
  6. Step 6: Final answer
    x = 56,982.11

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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.