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Finding the Fourth Proportional to 50,689, 76,033.80 and 13,753

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Solution

The fourth proportional to 50,689, 76,033.80 and 13,753 is: 20,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,689 : 76,033.80 = 13,753 : x
  2. Step 2: Convert to fraction form
    50,689/76,033.80 = 13,753/x
  3. Step 3: Cross multiply
    50,689x = 76,033.80 × 13,753
  4. Step 4: Simplify right side
    50,689x = 1,045,692,851.40
  5. Step 5: Solve for x
    x = 1,045,692,851.40/50,689
  6. Step 6: Final answer
    x = 20,629.58

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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.