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Finding the Fourth Proportional to 143,014.41, 214,491.24 and 54,236.79

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Solution

The fourth proportional to 143,014.41, 214,491.24 and 54,236.79 is: 81,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,014.41 : 214,491.24 = 54,236.79 : x
  2. Step 2: Convert to fraction form
    143,014.41/214,491.24 = 54,236.79/x
  3. Step 3: Cross multiply
    143,014.41x = 214,491.24 × 54,236.79
  4. Step 4: Simplify right side
    143,014.41x = 11,633,316,340.72
  5. Step 5: Solve for x
    x = 11,633,316,340.72/143,014.41
  6. Step 6: Final answer
    x = 81,343.67

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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.