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Finding the Fourth Proportional to 71,785.28, 106,941.25 and 68,546.81

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Solution

The fourth proportional to 71,785.28, 106,941.25 and 68,546.81 is: 102,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.28 : 106,941.25 = 68,546.81 : x
  2. Step 2: Convert to fraction form
    71,785.28/106,941.25 = 68,546.81/x
  3. Step 3: Cross multiply
    71,785.28x = 106,941.25 × 68,546.81
  4. Step 4: Simplify right side
    71,785.28x = 7,330,481,544.91
  5. Step 5: Solve for x
    x = 7,330,481,544.91/71,785.28
  6. Step 6: Final answer
    x = 102,116.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.