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Finding the Fourth Proportional to 50,653.88, 75,977.94 and 13,715

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Solution

The fourth proportional to 50,653.88, 75,977.94 and 13,715 is: 20,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.88 : 75,977.94 = 13,715 : x
  2. Step 2: Convert to fraction form
    50,653.88/75,977.94 = 13,715/x
  3. Step 3: Cross multiply
    50,653.88x = 75,977.94 × 13,715
  4. Step 4: Simplify right side
    50,653.88x = 1,042,037,447.10
  5. Step 5: Solve for x
    x = 1,042,037,447.10/50,653.88
  6. Step 6: Final answer
    x = 20,571.72

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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.