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Finding the Fourth Proportional to 51,906.80, 77,811.60 and 40,655.90

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Solution

The fourth proportional to 51,906.80, 77,811.60 and 40,655.90 is: 60,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.80 : 77,811.60 = 40,655.90 : x
  2. Step 2: Convert to fraction form
    51,906.80/77,811.60 = 40,655.90/x
  3. Step 3: Cross multiply
    51,906.80x = 77,811.60 × 40,655.90
  4. Step 4: Simplify right side
    51,906.80x = 3,163,500,628.44
  5. Step 5: Solve for x
    x = 3,163,500,628.44/51,906.80
  6. Step 6: Final answer
    x = 60,945.78

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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.