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Finding the Fourth Proportional to 122,772.56, 184,121.82 and 80,650.94

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Solution

The fourth proportional to 122,772.56, 184,121.82 and 80,650.94 is: 120,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,772.56 : 184,121.82 = 80,650.94 : x
  2. Step 2: Convert to fraction form
    122,772.56/184,121.82 = 80,650.94/x
  3. Step 3: Cross multiply
    122,772.56x = 184,121.82 × 80,650.94
  4. Step 4: Simplify right side
    122,772.56x = 14,849,596,936.90
  5. Step 5: Solve for x
    x = 14,849,596,936.90/122,772.56
  6. Step 6: Final answer
    x = 120,952.09

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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.