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Finding the Fourth Proportional to 51,906.74, 77,870.51 and 18,629.41

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Solution

The fourth proportional to 51,906.74, 77,870.51 and 18,629.41 is: 27,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.74 : 77,870.51 = 18,629.41 : x
  2. Step 2: Convert to fraction form
    51,906.74/77,870.51 = 18,629.41/x
  3. Step 3: Cross multiply
    51,906.74x = 77,870.51 × 18,629.41
  4. Step 4: Simplify right side
    51,906.74x = 1,450,681,657.70
  5. Step 5: Solve for x
    x = 1,450,681,657.70/51,906.74
  6. Step 6: Final answer
    x = 27,947.85

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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.