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Finding the Fourth Proportional to 221,929.50, 332,978.10 and 133,244.88

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Solution

The fourth proportional to 221,929.50, 332,978.10 and 133,244.88 is: 199,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,929.50 : 332,978.10 = 133,244.88 : x
  2. Step 2: Convert to fraction form
    221,929.50/332,978.10 = 133,244.88/x
  3. Step 3: Cross multiply
    221,929.50x = 332,978.10 × 133,244.88
  4. Step 4: Simplify right side
    221,929.50x = 44,367,626,977.13
  5. Step 5: Solve for x
    x = 44,367,626,977.13/221,929.50
  6. Step 6: Final answer
    x = 199,917.66

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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.