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Finding the Fourth Proportional to 50,476, 75,715.44 and 13,540

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Solution

The fourth proportional to 50,476, 75,715.44 and 13,540 is: 20,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476 : 75,715.44 = 13,540 : x
  2. Step 2: Convert to fraction form
    50,476/75,715.44 = 13,540/x
  3. Step 3: Cross multiply
    50,476x = 75,715.44 × 13,540
  4. Step 4: Simplify right side
    50,476x = 1,025,187,057.60
  5. Step 5: Solve for x
    x = 1,025,187,057.60/50,476
  6. Step 6: Final answer
    x = 20,310.39

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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.