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Finding the Fourth Proportional to 73,147.81, 109,721.76 and 17,743.81

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Solution

The fourth proportional to 73,147.81, 109,721.76 and 17,743.81 is: 26,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.81 : 109,721.76 = 17,743.81 : x
  2. Step 2: Convert to fraction form
    73,147.81/109,721.76 = 17,743.81/x
  3. Step 3: Cross multiply
    73,147.81x = 109,721.76 × 17,743.81
  4. Step 4: Simplify right side
    73,147.81x = 1,946,882,403.15
  5. Step 5: Solve for x
    x = 1,946,882,403.15/73,147.81
  6. Step 6: Final answer
    x = 26,615.73

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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.