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Finding the Fourth Proportional to 225,814.70, 338,601.76 and 76,005.20

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Solution

The fourth proportional to 225,814.70, 338,601.76 and 76,005.20 is: 113,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814.70 : 338,601.76 = 76,005.20 : x
  2. Step 2: Convert to fraction form
    225,814.70/338,601.76 = 76,005.20/x
  3. Step 3: Cross multiply
    225,814.70x = 338,601.76 × 76,005.20
  4. Step 4: Simplify right side
    225,814.70x = 25,735,494,489.15
  5. Step 5: Solve for x
    x = 25,735,494,489.15/225,814.70
  6. Step 6: Final answer
    x = 113,967.31

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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.