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Finding the Fourth Proportional to 78,249.65, 117,217.94 and 36,072.03

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Solution

The fourth proportional to 78,249.65, 117,217.94 and 36,072.03 is: 54,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,249.65 : 117,217.94 = 36,072.03 : x
  2. Step 2: Convert to fraction form
    78,249.65/117,217.94 = 36,072.03/x
  3. Step 3: Cross multiply
    78,249.65x = 117,217.94 × 36,072.03
  4. Step 4: Simplify right side
    78,249.65x = 4,228,289,307.43
  5. Step 5: Solve for x
    x = 4,228,289,307.43/78,249.65
  6. Step 6: Final answer
    x = 54,035.89

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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.