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Finding the Fourth Proportional to 50,642.64, 75,955.20 and 13,698

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Solution

The fourth proportional to 50,642.64, 75,955.20 and 13,698 is: 20,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.64 : 75,955.20 = 13,698 : x
  2. Step 2: Convert to fraction form
    50,642.64/75,955.20 = 13,698/x
  3. Step 3: Cross multiply
    50,642.64x = 75,955.20 × 13,698
  4. Step 4: Simplify right side
    50,642.64x = 1,040,434,329.60
  5. Step 5: Solve for x
    x = 1,040,434,329.60/50,642.64
  6. Step 6: Final answer
    x = 20,544.63

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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.