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Finding the Fourth Proportional to 220,954.50, 304,917.21 and 120,352.50

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Solution

The fourth proportional to 220,954.50, 304,917.21 and 120,352.50 is: 166,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,954.50 : 304,917.21 = 120,352.50 : x
  2. Step 2: Convert to fraction form
    220,954.50/304,917.21 = 120,352.50/x
  3. Step 3: Cross multiply
    220,954.50x = 304,917.21 × 120,352.50
  4. Step 4: Simplify right side
    220,954.50x = 36,697,548,516.53
  5. Step 5: Solve for x
    x = 36,697,548,516.53/220,954.50
  6. Step 6: Final answer
    x = 166,086.45

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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.