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Finding the Fourth Proportional to 217,692.63, 300,388.63 and 120,883.33

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Solution

The fourth proportional to 217,692.63, 300,388.63 and 120,883.33 is: 166,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,692.63 : 300,388.63 = 120,883.33 : x
  2. Step 2: Convert to fraction form
    217,692.63/300,388.63 = 120,883.33/x
  3. Step 3: Cross multiply
    217,692.63x = 300,388.63 × 120,883.33
  4. Step 4: Simplify right side
    217,692.63x = 36,311,976,418.67
  5. Step 5: Solve for x
    x = 36,311,976,418.67/217,692.63
  6. Step 6: Final answer
    x = 166,803.88

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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.