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Finding the Fourth Proportional to 225,992.88, 338,752.80 and 76,181.40

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Solution

The fourth proportional to 225,992.88, 338,752.80 and 76,181.40 is: 114,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,992.88 : 338,752.80 = 76,181.40 : x
  2. Step 2: Convert to fraction form
    225,992.88/338,752.80 = 76,181.40/x
  3. Step 3: Cross multiply
    225,992.88x = 338,752.80 × 76,181.40
  4. Step 4: Simplify right side
    225,992.88x = 25,806,662,557.92
  5. Step 5: Solve for x
    x = 25,806,662,557.92/225,992.88
  6. Step 6: Final answer
    x = 114,192.37

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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.