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Finding the Fourth Proportional to 139,408.94, 192,378.06 and 78,978.35

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Solution

The fourth proportional to 139,408.94, 192,378.06 and 78,978.35 is: 108,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,408.94 : 192,378.06 = 78,978.35 : x
  2. Step 2: Convert to fraction form
    139,408.94/192,378.06 = 78,978.35/x
  3. Step 3: Cross multiply
    139,408.94x = 192,378.06 × 78,978.35
  4. Step 4: Simplify right side
    139,408.94x = 15,193,702,235.95
  5. Step 5: Solve for x
    x = 15,193,702,235.95/139,408.94
  6. Step 6: Final answer
    x = 108,986.57

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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.