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Finding the Fourth Proportional to 221,184, 305,233.92 and 141,696

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Solution

The fourth proportional to 221,184, 305,233.92 and 141,696 is: 195,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,184 : 305,233.92 = 141,696 : x
  2. Step 2: Convert to fraction form
    221,184/305,233.92 = 141,696/x
  3. Step 3: Cross multiply
    221,184x = 305,233.92 × 141,696
  4. Step 4: Simplify right side
    221,184x = 43,250,425,528.32
  5. Step 5: Solve for x
    x = 43,250,425,528.32/221,184
  6. Step 6: Final answer
    x = 195,540.48

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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.