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Finding the Fourth Proportional to 82,354, 123,696.30 and 49,138.88

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Solution

The fourth proportional to 82,354, 123,696.30 and 49,138.88 is: 73,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354 : 123,696.30 = 49,138.88 : x
  2. Step 2: Convert to fraction form
    82,354/123,696.30 = 49,138.88/x
  3. Step 3: Cross multiply
    82,354x = 123,696.30 × 49,138.88
  4. Step 4: Simplify right side
    82,354x = 6,078,297,642.14
  5. Step 5: Solve for x
    x = 6,078,297,642.14/82,354
  6. Step 6: Final answer
    x = 73,806.95

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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.