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Finding the Fourth Proportional to 66,519, 99,794.94 and 19,771.68

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Solution

The fourth proportional to 66,519, 99,794.94 and 19,771.68 is: 29,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,519 : 99,794.94 = 19,771.68 : x
  2. Step 2: Convert to fraction form
    66,519/99,794.94 = 19,771.68/x
  3. Step 3: Cross multiply
    66,519x = 99,794.94 × 19,771.68
  4. Step 4: Simplify right side
    66,519x = 1,973,113,619.30
  5. Step 5: Solve for x
    x = 1,973,113,619.30/66,519
  6. Step 6: Final answer
    x = 29,662.41

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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.