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Finding the Fourth Proportional to 225,886.68, 338,759.30 and 81,774.32

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Solution

The fourth proportional to 225,886.68, 338,759.30 and 81,774.32 is: 122,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,886.68 : 338,759.30 = 81,774.32 : x
  2. Step 2: Convert to fraction form
    225,886.68/338,759.30 = 81,774.32/x
  3. Step 3: Cross multiply
    225,886.68x = 338,759.30 × 81,774.32
  4. Step 4: Simplify right side
    225,886.68x = 27,701,809,298.51
  5. Step 5: Solve for x
    x = 27,701,809,298.51/225,886.68
  6. Step 6: Final answer
    x = 122,635.87

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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.