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Finding the Fourth Proportional to 73,079.56, 109,638.78 and 23,161

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Solution

The fourth proportional to 73,079.56, 109,638.78 and 23,161 is: 34,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,079.56 : 109,638.78 = 23,161 : x
  2. Step 2: Convert to fraction form
    73,079.56/109,638.78 = 23,161/x
  3. Step 3: Cross multiply
    73,079.56x = 109,638.78 × 23,161
  4. Step 4: Simplify right side
    73,079.56x = 2,539,343,783.58
  5. Step 5: Solve for x
    x = 2,539,343,783.58/73,079.56
  6. Step 6: Final answer
    x = 34,747.66

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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.