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Finding the Fourth Proportional to 75,855.84, 113,782.86 and 19,690.94

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Solution

The fourth proportional to 75,855.84, 113,782.86 and 19,690.94 is: 29,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.84 : 113,782.86 = 19,690.94 : x
  2. Step 2: Convert to fraction form
    75,855.84/113,782.86 = 19,690.94/x
  3. Step 3: Cross multiply
    75,855.84x = 113,782.86 × 19,690.94
  4. Step 4: Simplify right side
    75,855.84x = 2,240,491,469.29
  5. Step 5: Solve for x
    x = 2,240,491,469.29/75,855.84
  6. Step 6: Final answer
    x = 29,536.18

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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.