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Finding the Fourth Proportional to 50,602, 75,903 and 13,666

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Solution

The fourth proportional to 50,602, 75,903 and 13,666 is: 20,499

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,602 : 75,903 = 13,666 : x
  2. Step 2: Convert to fraction form
    50,602/75,903 = 13,666/x
  3. Step 3: Cross multiply
    50,602x = 75,903 × 13,666
  4. Step 4: Simplify right side
    50,602x = 1,037,290,398
  5. Step 5: Solve for x
    x = 1,037,290,398/50,602
  6. Step 6: Final answer
    x = 20,499

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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.