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Finding the Fourth Proportional to 133,787.89, 200,656.27 and 67,209.54

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Solution

The fourth proportional to 133,787.89, 200,656.27 and 67,209.54 is: 100,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,787.89 : 200,656.27 = 67,209.54 : x
  2. Step 2: Convert to fraction form
    133,787.89/200,656.27 = 67,209.54/x
  3. Step 3: Cross multiply
    133,787.89x = 200,656.27 × 67,209.54
  4. Step 4: Simplify right side
    133,787.89x = 13,486,015,604.82
  5. Step 5: Solve for x
    x = 13,486,015,604.82/133,787.89
  6. Step 6: Final answer
    x = 100,801.47

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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.