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Finding the Fourth Proportional to 82,013.12, 123,039 and 26,609.12

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Solution

The fourth proportional to 82,013.12, 123,039 and 26,609.12 is: 39,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.12 : 123,039 = 26,609.12 : x
  2. Step 2: Convert to fraction form
    82,013.12/123,039 = 26,609.12/x
  3. Step 3: Cross multiply
    82,013.12x = 123,039 × 26,609.12
  4. Step 4: Simplify right side
    82,013.12x = 3,273,959,515.68
  5. Step 5: Solve for x
    x = 3,273,959,515.68/82,013.12
  6. Step 6: Final answer
    x = 39,919.95

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1.5x scale

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.