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Finding the Fourth Proportional to 221,419.52, 305,554.56 and 120,819.20

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Solution

The fourth proportional to 221,419.52, 305,554.56 and 120,819.20 is: 166,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,419.52 : 305,554.56 = 120,819.20 : x
  2. Step 2: Convert to fraction form
    221,419.52/305,554.56 = 120,819.20/x
  3. Step 3: Cross multiply
    221,419.52x = 305,554.56 × 120,819.20
  4. Step 4: Simplify right side
    221,419.52x = 36,916,857,495.55
  5. Step 5: Solve for x
    x = 36,916,857,495.55/221,419.52
  6. Step 6: Final answer
    x = 166,728.11

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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.