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Finding the Fourth Proportional to 51,994.25, 77,982.80 and 18,708.11

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Solution

The fourth proportional to 51,994.25, 77,982.80 and 18,708.11 is: 28,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994.25 : 77,982.80 = 18,708.11 : x
  2. Step 2: Convert to fraction form
    51,994.25/77,982.80 = 18,708.11/x
  3. Step 3: Cross multiply
    51,994.25x = 77,982.80 × 18,708.11
  4. Step 4: Simplify right side
    51,994.25x = 1,458,910,317.05
  5. Step 5: Solve for x
    x = 1,458,910,317.05/51,994.25
  6. Step 6: Final answer
    x = 28,059.07

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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.