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Finding the Fourth Proportional to 149,493.51, 223,986.51 and 90,204.60

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Solution

The fourth proportional to 149,493.51, 223,986.51 and 90,204.60 is: 135,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,493.51 : 223,986.51 = 90,204.60 : x
  2. Step 2: Convert to fraction form
    149,493.51/223,986.51 = 90,204.60/x
  3. Step 3: Cross multiply
    149,493.51x = 223,986.51 × 90,204.60
  4. Step 4: Simplify right side
    149,493.51x = 20,204,613,539.95
  5. Step 5: Solve for x
    x = 20,204,613,539.95/149,493.51
  6. Step 6: Final answer
    x = 135,153.78

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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.