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Finding the Fourth Proportional to 78,104.83, 107,786.67 and 47,906.84

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Solution

The fourth proportional to 78,104.83, 107,786.67 and 47,906.84 is: 66,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104.83 : 107,786.67 = 47,906.84 : x
  2. Step 2: Convert to fraction form
    78,104.83/107,786.67 = 47,906.84/x
  3. Step 3: Cross multiply
    78,104.83x = 107,786.67 × 47,906.84
  4. Step 4: Simplify right side
    78,104.83x = 5,163,719,247.85
  5. Step 5: Solve for x
    x = 5,163,719,247.85/78,104.83
  6. Step 6: Final answer
    x = 66,112.67

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1.5x scale

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.