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Finding the Fourth Proportional to 270,921.04, 406,352.40 and 81,361.60

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Solution

The fourth proportional to 270,921.04, 406,352.40 and 81,361.60 is: 122,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,921.04 : 406,352.40 = 81,361.60 : x
  2. Step 2: Convert to fraction form
    270,921.04/406,352.40 = 81,361.60/x
  3. Step 3: Cross multiply
    270,921.04x = 406,352.40 × 81,361.60
  4. Step 4: Simplify right side
    270,921.04x = 33,061,481,427.84
  5. Step 5: Solve for x
    x = 33,061,481,427.84/270,921.04
  6. Step 6: Final answer
    x = 122,033.64

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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.