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Finding the Fourth Proportional to 78,049.87, 117,054.28 and 33,666.75

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Solution

The fourth proportional to 78,049.87, 117,054.28 and 33,666.75 is: 50,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.87 : 117,054.28 = 33,666.75 : x
  2. Step 2: Convert to fraction form
    78,049.87/117,054.28 = 33,666.75/x
  3. Step 3: Cross multiply
    78,049.87x = 117,054.28 × 33,666.75
  4. Step 4: Simplify right side
    78,049.87x = 3,940,837,181.19
  5. Step 5: Solve for x
    x = 3,940,837,181.19/78,049.87
  6. Step 6: Final answer
    x = 50,491.27

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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.