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Finding the Fourth Proportional to 213,982.80, 320,628.60 and 134,955.60

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Solution

The fourth proportional to 213,982.80, 320,628.60 and 134,955.60 is: 202,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,982.80 : 320,628.60 = 134,955.60 : x
  2. Step 2: Convert to fraction form
    213,982.80/320,628.60 = 134,955.60/x
  3. Step 3: Cross multiply
    213,982.80x = 320,628.60 × 134,955.60
  4. Step 4: Simplify right side
    213,982.80x = 43,270,625,090.16
  5. Step 5: Solve for x
    x = 43,270,625,090.16/213,982.80
  6. Step 6: Final answer
    x = 202,215.44

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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.