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Finding the Fourth Proportional to 67,809, 101,713.50 and 26,256

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Solution

The fourth proportional to 67,809, 101,713.50 and 26,256 is: 39,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,809 : 101,713.50 = 26,256 : x
  2. Step 2: Convert to fraction form
    67,809/101,713.50 = 26,256/x
  3. Step 3: Cross multiply
    67,809x = 101,713.50 × 26,256
  4. Step 4: Simplify right side
    67,809x = 2,670,589,656
  5. Step 5: Solve for x
    x = 2,670,589,656/67,809
  6. Step 6: Final answer
    x = 39,384

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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.