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Finding the Fourth Proportional to 143,199.18, 214,471.80 and 68,371.86

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Solution

The fourth proportional to 143,199.18, 214,471.80 and 68,371.86 is: 102,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,199.18 : 214,471.80 = 68,371.86 : x
  2. Step 2: Convert to fraction form
    143,199.18/214,471.80 = 68,371.86/x
  3. Step 3: Cross multiply
    143,199.18x = 214,471.80 × 68,371.86
  4. Step 4: Simplify right side
    143,199.18x = 14,663,835,104.41
  5. Step 5: Solve for x
    x = 14,663,835,104.41/143,199.18
  6. Step 6: Final answer
    x = 102,401.67

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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.