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Finding the Fourth Proportional to 49,290.64, 73,960.80 and 19,717

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Solution

The fourth proportional to 49,290.64, 73,960.80 and 19,717 is: 29,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,290.64 : 73,960.80 = 19,717 : x
  2. Step 2: Convert to fraction form
    49,290.64/73,960.80 = 19,717/x
  3. Step 3: Cross multiply
    49,290.64x = 73,960.80 × 19,717
  4. Step 4: Simplify right side
    49,290.64x = 1,458,285,093.60
  5. Step 5: Solve for x
    x = 1,458,285,093.60/49,290.64
  6. Step 6: Final answer
    x = 29,585.44

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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.