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Finding the Fourth Proportional to 133,868.61, 200,529.54 and 74,735.78

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Solution

The fourth proportional to 133,868.61, 200,529.54 and 74,735.78 is: 111,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,868.61 : 200,529.54 = 74,735.78 : x
  2. Step 2: Convert to fraction form
    133,868.61/200,529.54 = 74,735.78/x
  3. Step 3: Cross multiply
    133,868.61x = 200,529.54 × 74,735.78
  4. Step 4: Simplify right side
    133,868.61x = 14,986,731,584.94
  5. Step 5: Solve for x
    x = 14,986,731,584.94/133,868.61
  6. Step 6: Final answer
    x = 111,951.05

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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.