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Finding the Fourth Proportional to 180,105.67, 270,158.51 and 69,271.75

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Solution

The fourth proportional to 180,105.67, 270,158.51 and 69,271.75 is: 103,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,105.67 : 270,158.51 = 69,271.75 : x
  2. Step 2: Convert to fraction form
    180,105.67/270,158.51 = 69,271.75/x
  3. Step 3: Cross multiply
    180,105.67x = 270,158.51 × 69,271.75
  4. Step 4: Simplify right side
    180,105.67x = 18,714,352,418.73
  5. Step 5: Solve for x
    x = 18,714,352,418.73/180,105.67
  6. Step 6: Final answer
    x = 103,907.63

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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.