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Finding the Fourth Proportional to 135,980.49, 203,969.88 and 52,874.49

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Solution

The fourth proportional to 135,980.49, 203,969.88 and 52,874.49 is: 79,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,980.49 : 203,969.88 = 52,874.49 : x
  2. Step 2: Convert to fraction form
    135,980.49/203,969.88 = 52,874.49/x
  3. Step 3: Cross multiply
    135,980.49x = 203,969.88 × 52,874.49
  4. Step 4: Simplify right side
    135,980.49x = 10,784,803,380.36
  5. Step 5: Solve for x
    x = 10,784,803,380.36/135,980.49
  6. Step 6: Final answer
    x = 79,311.40

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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.