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Finding the Fourth Proportional to 73,142, 109,713 and 17,738

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Solution

The fourth proportional to 73,142, 109,713 and 17,738 is: 26,607

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142 : 109,713 = 17,738 : x
  2. Step 2: Convert to fraction form
    73,142/109,713 = 17,738/x
  3. Step 3: Cross multiply
    73,142x = 109,713 × 17,738
  4. Step 4: Simplify right side
    73,142x = 1,946,089,194
  5. Step 5: Solve for x
    x = 1,946,089,194/73,142
  6. Step 6: Final answer
    x = 26,607

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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.