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Finding the Fourth Proportional to 214,144.80, 320,871.60 and 135,117.60

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Solution

The fourth proportional to 214,144.80, 320,871.60 and 135,117.60 is: 202,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,144.80 : 320,871.60 = 135,117.60 : x
  2. Step 2: Convert to fraction form
    214,144.80/320,871.60 = 135,117.60/x
  3. Step 3: Cross multiply
    214,144.80x = 320,871.60 × 135,117.60
  4. Step 4: Simplify right side
    214,144.80x = 43,355,400,500.16
  5. Step 5: Solve for x
    x = 43,355,400,500.16/214,144.80
  6. Step 6: Final answer
    x = 202,458.34

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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.