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Finding the Fourth Proportional to 221,346.50, 305,458.18 and 120,744.50

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Solution

The fourth proportional to 221,346.50, 305,458.18 and 120,744.50 is: 166,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,346.50 : 305,458.18 = 120,744.50 : x
  2. Step 2: Convert to fraction form
    221,346.50/305,458.18 = 120,744.50/x
  3. Step 3: Cross multiply
    221,346.50x = 305,458.18 × 120,744.50
  4. Step 4: Simplify right side
    221,346.50x = 36,882,395,215.01
  5. Step 5: Solve for x
    x = 36,882,395,215.01/221,346.50
  6. Step 6: Final answer
    x = 166,627.42

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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.