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Finding the Fourth Proportional to 253,771.83, 380,692.71 and 85,305.24

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Solution

The fourth proportional to 253,771.83, 380,692.71 and 85,305.24 is: 127,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,771.83 : 380,692.71 = 85,305.24 : x
  2. Step 2: Convert to fraction form
    253,771.83/380,692.71 = 85,305.24/x
  3. Step 3: Cross multiply
    253,771.83x = 380,692.71 × 85,305.24
  4. Step 4: Simplify right side
    253,771.83x = 32,475,082,992.80
  5. Step 5: Solve for x
    x = 32,475,082,992.80/253,771.83
  6. Step 6: Final answer
    x = 127,969.61

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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.