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Finding the Fourth Proportional to 213,760.44, 320,640.36 and 85,734.48

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Solution

The fourth proportional to 213,760.44, 320,640.36 and 85,734.48 is: 128,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,760.44 : 320,640.36 = 85,734.48 : x
  2. Step 2: Convert to fraction form
    213,760.44/320,640.36 = 85,734.48/x
  3. Step 3: Cross multiply
    213,760.44x = 320,640.36 × 85,734.48
  4. Step 4: Simplify right side
    213,760.44x = 27,489,934,531.61
  5. Step 5: Solve for x
    x = 27,489,934,531.61/213,760.44
  6. Step 6: Final answer
    x = 128,601.60

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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.