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Finding the Fourth Proportional to 139,408.83, 192,385.94 and 75,747.69

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Solution

The fourth proportional to 139,408.83, 192,385.94 and 75,747.69 is: 104,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,408.83 : 192,385.94 = 75,747.69 : x
  2. Step 2: Convert to fraction form
    139,408.83/192,385.94 = 75,747.69/x
  3. Step 3: Cross multiply
    139,408.83x = 192,385.94 × 75,747.69
  4. Step 4: Simplify right side
    139,408.83x = 14,572,790,164.74
  5. Step 5: Solve for x
    x = 14,572,790,164.74/139,408.83
  6. Step 6: Final answer
    x = 104,532.76

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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.