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Finding the Fourth Proportional to 201,190.80, 301,325.40 and 102,579.60

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Solution

The fourth proportional to 201,190.80, 301,325.40 and 102,579.60 is: 153,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,190.80 : 301,325.40 = 102,579.60 : x
  2. Step 2: Convert to fraction form
    201,190.80/301,325.40 = 102,579.60/x
  3. Step 3: Cross multiply
    201,190.80x = 301,325.40 × 102,579.60
  4. Step 4: Simplify right side
    201,190.80x = 30,909,839,001.84
  5. Step 5: Solve for x
    x = 30,909,839,001.84/201,190.80
  6. Step 6: Final answer
    x = 153,634.46

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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.