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Finding the Fourth Proportional to 68,601.76, 102,917.76 and 20,568.46

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Solution

The fourth proportional to 68,601.76, 102,917.76 and 20,568.46 is: 30,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,601.76 : 102,917.76 = 20,568.46 : x
  2. Step 2: Convert to fraction form
    68,601.76/102,917.76 = 20,568.46/x
  3. Step 3: Cross multiply
    68,601.76x = 102,917.76 × 20,568.46
  4. Step 4: Simplify right side
    68,601.76x = 2,116,859,315.26
  5. Step 5: Solve for x
    x = 2,116,859,315.26/68,601.76
  6. Step 6: Final answer
    x = 30,857.22

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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.