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Finding the Fourth Proportional to 252,102, 347,896.44 and 137,381.70

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Solution

The fourth proportional to 252,102, 347,896.44 and 137,381.70 is: 189,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,102 : 347,896.44 = 137,381.70 : x
  2. Step 2: Convert to fraction form
    252,102/347,896.44 = 137,381.70/x
  3. Step 3: Cross multiply
    252,102x = 347,896.44 × 137,381.70
  4. Step 4: Simplify right side
    252,102x = 47,794,604,351.15
  5. Step 5: Solve for x
    x = 47,794,604,351.15/252,102
  6. Step 6: Final answer
    x = 189,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.