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Finding the Fourth Proportional to 139,408, 192,383.94 and 75,745.78

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Solution

The fourth proportional to 139,408, 192,383.94 and 75,745.78 is: 104,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,408 : 192,383.94 = 75,745.78 : x
  2. Step 2: Convert to fraction form
    139,408/192,383.94 = 75,745.78/x
  3. Step 3: Cross multiply
    139,408x = 192,383.94 × 75,745.78
  4. Step 4: Simplify right side
    139,408x = 14,572,271,594.77
  5. Step 5: Solve for x
    x = 14,572,271,594.77/139,408
  6. Step 6: Final answer
    x = 104,529.67

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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.