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Finding the Fourth Proportional to 149,172.50, 205,858.50 and 82,104.50

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Solution

The fourth proportional to 149,172.50, 205,858.50 and 82,104.50 is: 113,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,172.50 : 205,858.50 = 82,104.50 : x
  2. Step 2: Convert to fraction form
    149,172.50/205,858.50 = 82,104.50/x
  3. Step 3: Cross multiply
    149,172.50x = 205,858.50 × 82,104.50
  4. Step 4: Simplify right side
    149,172.50x = 16,901,909,213.25
  5. Step 5: Solve for x
    x = 16,901,909,213.25/149,172.50
  6. Step 6: Final answer
    x = 113,304.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.