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Finding the Fourth Proportional to 225,882.60, 338,855.16 and 76,165.72

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Solution

The fourth proportional to 225,882.60, 338,855.16 and 76,165.72 is: 114,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,882.60 : 338,855.16 = 76,165.72 : x
  2. Step 2: Convert to fraction form
    225,882.60/338,855.16 = 76,165.72/x
  3. Step 3: Cross multiply
    225,882.60x = 338,855.16 × 76,165.72
  4. Step 4: Simplify right side
    225,882.60x = 25,809,147,237.12
  5. Step 5: Solve for x
    x = 25,809,147,237.12/225,882.60
  6. Step 6: Final answer
    x = 114,259.12

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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.