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Finding the Fourth Proportional to 180,505.72, 270,764.85 and 85,687.05

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Solution

The fourth proportional to 180,505.72, 270,764.85 and 85,687.05 is: 128,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,505.72 : 270,764.85 = 85,687.05 : x
  2. Step 2: Convert to fraction form
    180,505.72/270,764.85 = 85,687.05/x
  3. Step 3: Cross multiply
    180,505.72x = 270,764.85 × 85,687.05
  4. Step 4: Simplify right side
    180,505.72x = 23,201,042,576.89
  5. Step 5: Solve for x
    x = 23,201,042,576.89/180,505.72
  6. Step 6: Final answer
    x = 128,533.56

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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.