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Finding the Fourth Proportional to 225,929.43, 338,686.79 and 78,081.75

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Solution

The fourth proportional to 225,929.43, 338,686.79 and 78,081.75 is: 117,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,929.43 : 338,686.79 = 78,081.75 : x
  2. Step 2: Convert to fraction form
    225,929.43/338,686.79 = 78,081.75/x
  3. Step 3: Cross multiply
    225,929.43x = 338,686.79 × 78,081.75
  4. Step 4: Simplify right side
    225,929.43x = 26,445,256,874.67
  5. Step 5: Solve for x
    x = 26,445,256,874.67/225,929.43
  6. Step 6: Final answer
    x = 117,050.96

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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.