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Finding the Fourth Proportional to 49,419, 74,135.75 and 15,673.77

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Solution

The fourth proportional to 49,419, 74,135.75 and 15,673.77 is: 23,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,419 : 74,135.75 = 15,673.77 : x
  2. Step 2: Convert to fraction form
    49,419/74,135.75 = 15,673.77/x
  3. Step 3: Cross multiply
    49,419x = 74,135.75 × 15,673.77
  4. Step 4: Simplify right side
    49,419x = 1,161,986,245.23
  5. Step 5: Solve for x
    x = 1,161,986,245.23/49,419
  6. Step 6: Final answer
    x = 23,512.95

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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.