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Finding the Fourth Proportional to 48,678, 73,017 and 11,742

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Solution

The fourth proportional to 48,678, 73,017 and 11,742 is: 17,613

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,678 : 73,017 = 11,742 : x
  2. Step 2: Convert to fraction form
    48,678/73,017 = 11,742/x
  3. Step 3: Cross multiply
    48,678x = 73,017 × 11,742
  4. Step 4: Simplify right side
    48,678x = 857,365,614
  5. Step 5: Solve for x
    x = 857,365,614/48,678
  6. Step 6: Final answer
    x = 17,613

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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.