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Finding the Fourth Proportional to 75,803.25, 113,704.38 and 19,643.25

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Solution

The fourth proportional to 75,803.25, 113,704.38 and 19,643.25 is: 29,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,803.25 : 113,704.38 = 19,643.25 : x
  2. Step 2: Convert to fraction form
    75,803.25/113,704.38 = 19,643.25/x
  3. Step 3: Cross multiply
    75,803.25x = 113,704.38 × 19,643.25
  4. Step 4: Simplify right side
    75,803.25x = 2,233,523,562.44
  5. Step 5: Solve for x
    x = 2,233,523,562.44/75,803.25
  6. Step 6: Final answer
    x = 29,464.75

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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.