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Finding the Fourth Proportional to 274,692.64, 412,103.22 and 85,143.08

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Solution

The fourth proportional to 274,692.64, 412,103.22 and 85,143.08 is: 127,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,692.64 : 412,103.22 = 85,143.08 : x
  2. Step 2: Convert to fraction form
    274,692.64/412,103.22 = 85,143.08/x
  3. Step 3: Cross multiply
    274,692.64x = 412,103.22 × 85,143.08
  4. Step 4: Simplify right side
    274,692.64x = 35,087,737,428.72
  5. Step 5: Solve for x
    x = 35,087,737,428.72/274,692.64
  6. Step 6: Final answer
    x = 127,734.54

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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.