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Finding the Fourth Proportional to 139,212.64, 192,163.23 and 82,624

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Solution

The fourth proportional to 139,212.64, 192,163.23 and 82,624 is: 114,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,212.64 : 192,163.23 = 82,624 : x
  2. Step 2: Convert to fraction form
    139,212.64/192,163.23 = 82,624/x
  3. Step 3: Cross multiply
    139,212.64x = 192,163.23 × 82,624
  4. Step 4: Simplify right side
    139,212.64x = 15,877,294,715.52
  5. Step 5: Solve for x
    x = 15,877,294,715.52/139,212.64
  6. Step 6: Final answer
    x = 114,050.67

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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.