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Finding the Fourth Proportional to 214,080.80, 320,775.60 and 135,053.60

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Solution

The fourth proportional to 214,080.80, 320,775.60 and 135,053.60 is: 202,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,080.80 : 320,775.60 = 135,053.60 : x
  2. Step 2: Convert to fraction form
    214,080.80/320,775.60 = 135,053.60/x
  3. Step 3: Cross multiply
    214,080.80x = 320,775.60 × 135,053.60
  4. Step 4: Simplify right side
    214,080.80x = 43,321,899,572.16
  5. Step 5: Solve for x
    x = 43,321,899,572.16/214,080.80
  6. Step 6: Final answer
    x = 202,362.38

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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.