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Finding the Fourth Proportional to 51,206.88, 76,809.97 and 13,763.82

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Solution

The fourth proportional to 51,206.88, 76,809.97 and 13,763.82 is: 20,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.88 : 76,809.97 = 13,763.82 : x
  2. Step 2: Convert to fraction form
    51,206.88/76,809.97 = 13,763.82/x
  3. Step 3: Cross multiply
    51,206.88x = 76,809.97 × 13,763.82
  4. Step 4: Simplify right side
    51,206.88x = 1,057,198,906.53
  5. Step 5: Solve for x
    x = 1,057,198,906.53/51,206.88
  6. Step 6: Final answer
    x = 20,645.64

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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.