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Finding the Fourth Proportional to 50,770, 76,155 and 13,834

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Solution

The fourth proportional to 50,770, 76,155 and 13,834 is: 20,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,770 : 76,155 = 13,834 : x
  2. Step 2: Convert to fraction form
    50,770/76,155 = 13,834/x
  3. Step 3: Cross multiply
    50,770x = 76,155 × 13,834
  4. Step 4: Simplify right side
    50,770x = 1,053,528,270
  5. Step 5: Solve for x
    x = 1,053,528,270/50,770
  6. Step 6: Final answer
    x = 20,751

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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.