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Finding the Fourth Proportional to 120,785.60, 180,832.80 and 106,961.60

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Solution

The fourth proportional to 120,785.60, 180,832.80 and 106,961.60 is: 160,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,785.60 : 180,832.80 = 106,961.60 : x
  2. Step 2: Convert to fraction form
    120,785.60/180,832.80 = 106,961.60/x
  3. Step 3: Cross multiply
    120,785.60x = 180,832.80 × 106,961.60
  4. Step 4: Simplify right side
    120,785.60x = 19,342,165,620.48
  5. Step 5: Solve for x
    x = 19,342,165,620.48/120,785.60
  6. Step 6: Final answer
    x = 160,136.35

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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.