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Finding the Fourth Proportional to 221,893, 306,212.34 and 121,291

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Solution

The fourth proportional to 221,893, 306,212.34 and 121,291 is: 167,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,893 : 306,212.34 = 121,291 : x
  2. Step 2: Convert to fraction form
    221,893/306,212.34 = 121,291/x
  3. Step 3: Cross multiply
    221,893x = 306,212.34 × 121,291
  4. Step 4: Simplify right side
    221,893x = 37,140,800,930.94
  5. Step 5: Solve for x
    x = 37,140,800,930.94/221,893
  6. Step 6: Final answer
    x = 167,381.58

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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.