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Finding the Fourth Proportional to 105,997.50, 159,069.15 and 43,668

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Solution

The fourth proportional to 105,997.50, 159,069.15 and 43,668 is: 65,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,997.50 : 159,069.15 = 43,668 : x
  2. Step 2: Convert to fraction form
    105,997.50/159,069.15 = 43,668/x
  3. Step 3: Cross multiply
    105,997.50x = 159,069.15 × 43,668
  4. Step 4: Simplify right side
    105,997.50x = 6,946,231,642.20
  5. Step 5: Solve for x
    x = 6,946,231,642.20/105,997.50
  6. Step 6: Final answer
    x = 65,532.03

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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.