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Finding the Fourth Proportional to 135,880.12, 203,949.78 and 83,392.12

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Solution

The fourth proportional to 135,880.12, 203,949.78 and 83,392.12 is: 125,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,880.12 : 203,949.78 = 83,392.12 : x
  2. Step 2: Convert to fraction form
    135,880.12/203,949.78 = 83,392.12/x
  3. Step 3: Cross multiply
    135,880.12x = 203,949.78 × 83,392.12
  4. Step 4: Simplify right side
    135,880.12x = 17,007,804,527.73
  5. Step 5: Solve for x
    x = 17,007,804,527.73/135,880.12
  6. Step 6: Final answer
    x = 125,167.72

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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.