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Finding the Fourth Proportional to 75,969.68, 113,954.60 and 19,809.74

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Solution

The fourth proportional to 75,969.68, 113,954.60 and 19,809.74 is: 29,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969.68 : 113,954.60 = 19,809.74 : x
  2. Step 2: Convert to fraction form
    75,969.68/113,954.60 = 19,809.74/x
  3. Step 3: Cross multiply
    75,969.68x = 113,954.60 × 19,809.74
  4. Step 4: Simplify right side
    75,969.68x = 2,257,410,997.80
  5. Step 5: Solve for x
    x = 2,257,410,997.80/75,969.68
  6. Step 6: Final answer
    x = 29,714.63

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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.