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Finding the Fourth Proportional to 105,568.64, 158,328 and 30,668.80

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Solution

The fourth proportional to 105,568.64, 158,328 and 30,668.80 is: 45,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,568.64 : 158,328 = 30,668.80 : x
  2. Step 2: Convert to fraction form
    105,568.64/158,328 = 30,668.80/x
  3. Step 3: Cross multiply
    105,568.64x = 158,328 × 30,668.80
  4. Step 4: Simplify right side
    105,568.64x = 4,855,729,766.40
  5. Step 5: Solve for x
    x = 4,855,729,766.40/105,568.64
  6. Step 6: Final answer
    x = 45,995.95

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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.