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Finding the Fourth Proportional to 225,958.12, 338,735.82 and 85,815.16

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Solution

The fourth proportional to 225,958.12, 338,735.82 and 85,815.16 is: 128,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,958.12 : 338,735.82 = 85,815.16 : x
  2. Step 2: Convert to fraction form
    225,958.12/338,735.82 = 85,815.16/x
  3. Step 3: Cross multiply
    225,958.12x = 338,735.82 × 85,815.16
  4. Step 4: Simplify right side
    225,958.12x = 29,068,668,591.03
  5. Step 5: Solve for x
    x = 29,068,668,591.03/225,958.12
  6. Step 6: Final answer
    x = 128,646.27

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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.