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Finding the Fourth Proportional to 221,573.92, 305,770.44 and 120,971.92

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Solution

The fourth proportional to 221,573.92, 305,770.44 and 120,971.92 is: 166,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,573.92 : 305,770.44 = 120,971.92 : x
  2. Step 2: Convert to fraction form
    221,573.92/305,770.44 = 120,971.92/x
  3. Step 3: Cross multiply
    221,573.92x = 305,770.44 × 120,971.92
  4. Step 4: Simplify right side
    221,573.92x = 36,989,637,206.04
  5. Step 5: Solve for x
    x = 36,989,637,206.04/221,573.92
  6. Step 6: Final answer
    x = 166,940.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.