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Finding the Fourth Proportional to 188,692.88, 260,288.04 and 117,914

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Solution

The fourth proportional to 188,692.88, 260,288.04 and 117,914 is: 162,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,692.88 : 260,288.04 = 117,914 : x
  2. Step 2: Convert to fraction form
    188,692.88/260,288.04 = 117,914/x
  3. Step 3: Cross multiply
    188,692.88x = 260,288.04 × 117,914
  4. Step 4: Simplify right side
    188,692.88x = 30,691,603,948.56
  5. Step 5: Solve for x
    x = 30,691,603,948.56/188,692.88
  6. Step 6: Final answer
    x = 162,653.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.