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Finding the Fourth Proportional to 135,993.31, 203,989.70 and 36,153.48

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Solution

The fourth proportional to 135,993.31, 203,989.70 and 36,153.48 is: 54,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,993.31 : 203,989.70 = 36,153.48 : x
  2. Step 2: Convert to fraction form
    135,993.31/203,989.70 = 36,153.48/x
  3. Step 3: Cross multiply
    135,993.31x = 203,989.70 × 36,153.48
  4. Step 4: Simplify right side
    135,993.31x = 7,374,938,394.50
  5. Step 5: Solve for x
    x = 7,374,938,394.50/135,993.31
  6. Step 6: Final answer
    x = 54,230.16

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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.