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Finding the Fourth Proportional to 135,348, 203,021.07 and 105,790.68

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Solution

The fourth proportional to 135,348, 203,021.07 and 105,790.68 is: 158,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,348 : 203,021.07 = 105,790.68 : x
  2. Step 2: Convert to fraction form
    135,348/203,021.07 = 105,790.68/x
  3. Step 3: Cross multiply
    135,348x = 203,021.07 × 105,790.68
  4. Step 4: Simplify right side
    135,348x = 21,477,737,049.63
  5. Step 5: Solve for x
    x = 21,477,737,049.63/135,348
  6. Step 6: Final answer
    x = 158,685.29

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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.