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Finding the Fourth Proportional to 220,740, 304,622.28 and 120,138

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Solution

The fourth proportional to 220,740, 304,622.28 and 120,138 is: 165,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,740 : 304,622.28 = 120,138 : x
  2. Step 2: Convert to fraction form
    220,740/304,622.28 = 120,138/x
  3. Step 3: Cross multiply
    220,740x = 304,622.28 × 120,138
  4. Step 4: Simplify right side
    220,740x = 36,596,711,474.64
  5. Step 5: Solve for x
    x = 36,596,711,474.64/220,740
  6. Step 6: Final answer
    x = 165,791.03

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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.