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Finding the Fourth Proportional to 50,342, 75,513.24 and 13,406

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Solution

The fourth proportional to 50,342, 75,513.24 and 13,406 is: 20,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342 : 75,513.24 = 13,406 : x
  2. Step 2: Convert to fraction form
    50,342/75,513.24 = 13,406/x
  3. Step 3: Cross multiply
    50,342x = 75,513.24 × 13,406
  4. Step 4: Simplify right side
    50,342x = 1,012,330,495.44
  5. Step 5: Solve for x
    x = 1,012,330,495.44/50,342
  6. Step 6: Final answer
    x = 20,109.06

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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.