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Finding the Fourth Proportional to 120,169.96, 180,280.80 and 35,936.80

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Solution

The fourth proportional to 120,169.96, 180,280.80 and 35,936.80 is: 53,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169.96 : 180,280.80 = 35,936.80 : x
  2. Step 2: Convert to fraction form
    120,169.96/180,280.80 = 35,936.80/x
  3. Step 3: Cross multiply
    120,169.96x = 180,280.80 × 35,936.80
  4. Step 4: Simplify right side
    120,169.96x = 6,478,715,053.44
  5. Step 5: Solve for x
    x = 6,478,715,053.44/120,169.96
  6. Step 6: Final answer
    x = 53,912.93

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1.5x scale

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.