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Finding the Fourth Proportional to 49,679.40, 74,519.10 and 12,743.40

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Solution

The fourth proportional to 49,679.40, 74,519.10 and 12,743.40 is: 19,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,679.40 : 74,519.10 = 12,743.40 : x
  2. Step 2: Convert to fraction form
    49,679.40/74,519.10 = 12,743.40/x
  3. Step 3: Cross multiply
    49,679.40x = 74,519.10 × 12,743.40
  4. Step 4: Simplify right side
    49,679.40x = 949,626,698.94
  5. Step 5: Solve for x
    x = 949,626,698.94/49,679.40
  6. Step 6: Final answer
    x = 19,115.10

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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.