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Finding the Fourth Proportional to 120,205.68, 180,149.24 and 63,924.60

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Solution

The fourth proportional to 120,205.68, 180,149.24 and 63,924.60 is: 95,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.68 : 180,149.24 = 63,924.60 : x
  2. Step 2: Convert to fraction form
    120,205.68/180,149.24 = 63,924.60/x
  3. Step 3: Cross multiply
    120,205.68x = 180,149.24 × 63,924.60
  4. Step 4: Simplify right side
    120,205.68x = 11,515,968,107.30
  5. Step 5: Solve for x
    x = 11,515,968,107.30/120,205.68
  6. Step 6: Final answer
    x = 95,802.20

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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.