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Finding the Fourth Proportional to 225,886.25, 338,760.25 and 76,086.38

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Solution

The fourth proportional to 225,886.25, 338,760.25 and 76,086.38 is: 114,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,886.25 : 338,760.25 = 76,086.38 : x
  2. Step 2: Convert to fraction form
    225,886.25/338,760.25 = 76,086.38/x
  3. Step 3: Cross multiply
    225,886.25x = 338,760.25 × 76,086.38
  4. Step 4: Simplify right side
    225,886.25x = 25,775,041,110.40
  5. Step 5: Solve for x
    x = 25,775,041,110.40/225,886.25
  6. Step 6: Final answer
    x = 114,106.29

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1.5x scale

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.