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Finding the Fourth Proportional to 221,929.90, 332,978.65 and 133,245.23

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Solution

The fourth proportional to 221,929.90, 332,978.65 and 133,245.23 is: 199,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,929.90 : 332,978.65 = 133,245.23 : x
  2. Step 2: Convert to fraction form
    221,929.90/332,978.65 = 133,245.23/x
  3. Step 3: Cross multiply
    221,929.90x = 332,978.65 × 133,245.23
  4. Step 4: Simplify right side
    221,929.90x = 44,367,814,806.33
  5. Step 5: Solve for x
    x = 44,367,814,806.33/221,929.90
  6. Step 6: Final answer
    x = 199,918.15

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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.