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Finding the Fourth Proportional to 71,546.80, 106,797 and 66,342.68

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Solution

The fourth proportional to 71,546.80, 106,797 and 66,342.68 is: 99,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.80 : 106,797 = 66,342.68 : x
  2. Step 2: Convert to fraction form
    71,546.80/106,797 = 66,342.68/x
  3. Step 3: Cross multiply
    71,546.80x = 106,797 × 66,342.68
  4. Step 4: Simplify right side
    71,546.80x = 7,085,199,195.96
  5. Step 5: Solve for x
    x = 7,085,199,195.96/71,546.80
  6. Step 6: Final answer
    x = 99,028.88

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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.