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Finding the Fourth Proportional to 50,787, 76,180.68 and 13,851

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Solution

The fourth proportional to 50,787, 76,180.68 and 13,851 is: 20,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,787 : 76,180.68 = 13,851 : x
  2. Step 2: Convert to fraction form
    50,787/76,180.68 = 13,851/x
  3. Step 3: Cross multiply
    50,787x = 76,180.68 × 13,851
  4. Step 4: Simplify right side
    50,787x = 1,055,178,598.68
  5. Step 5: Solve for x
    x = 1,055,178,598.68/50,787
  6. Step 6: Final answer
    x = 20,776.55

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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.