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Finding the Fourth Proportional to 180,723.67, 270,717.36 and 85,665.73

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Solution

The fourth proportional to 180,723.67, 270,717.36 and 85,665.73 is: 128,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,723.67 : 270,717.36 = 85,665.73 : x
  2. Step 2: Convert to fraction form
    180,723.67/270,717.36 = 85,665.73/x
  3. Step 3: Cross multiply
    180,723.67x = 270,717.36 × 85,665.73
  4. Step 4: Simplify right side
    180,723.67x = 23,191,200,268.07
  5. Step 5: Solve for x
    x = 23,191,200,268.07/180,723.67
  6. Step 6: Final answer
    x = 128,324.09

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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.