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Finding the Fourth Proportional to 103,274.28, 154,879.02 and 33,138

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Solution

The fourth proportional to 103,274.28, 154,879.02 and 33,138 is: 49,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,274.28 : 154,879.02 = 33,138 : x
  2. Step 2: Convert to fraction form
    103,274.28/154,879.02 = 33,138/x
  3. Step 3: Cross multiply
    103,274.28x = 154,879.02 × 33,138
  4. Step 4: Simplify right side
    103,274.28x = 5,132,380,964.76
  5. Step 5: Solve for x
    x = 5,132,380,964.76/103,274.28
  6. Step 6: Final answer
    x = 49,696.60

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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.