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Finding the Fourth Proportional to 50,572, 75,858 and 13,636

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Solution

The fourth proportional to 50,572, 75,858 and 13,636 is: 20,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,572 : 75,858 = 13,636 : x
  2. Step 2: Convert to fraction form
    50,572/75,858 = 13,636/x
  3. Step 3: Cross multiply
    50,572x = 75,858 × 13,636
  4. Step 4: Simplify right side
    50,572x = 1,034,399,688
  5. Step 5: Solve for x
    x = 1,034,399,688/50,572
  6. Step 6: Final answer
    x = 20,454

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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.