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Finding the Fourth Proportional to 274,274.34, 411,336.67 and 82,103.68

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Solution

The fourth proportional to 274,274.34, 411,336.67 and 82,103.68 is: 123,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,274.34 : 411,336.67 = 82,103.68 : x
  2. Step 2: Convert to fraction form
    274,274.34/411,336.67 = 82,103.68/x
  3. Step 3: Cross multiply
    274,274.34x = 411,336.67 × 82,103.68
  4. Step 4: Simplify right side
    274,274.34x = 33,772,253,915.43
  5. Step 5: Solve for x
    x = 33,772,253,915.43/274,274.34
  6. Step 6: Final answer
    x = 123,133.12

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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.