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Finding the Fourth Proportional to 83,906.50, 125,859.75 and 34,659.78

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Solution

The fourth proportional to 83,906.50, 125,859.75 and 34,659.78 is: 51,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.50 : 125,859.75 = 34,659.78 : x
  2. Step 2: Convert to fraction form
    83,906.50/125,859.75 = 34,659.78/x
  3. Step 3: Cross multiply
    83,906.50x = 125,859.75 × 34,659.78
  4. Step 4: Simplify right side
    83,906.50x = 4,362,271,245.86
  5. Step 5: Solve for x
    x = 4,362,271,245.86/83,906.50
  6. Step 6: Final answer
    x = 51,989.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.