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Finding the Fourth Proportional to 220,802, 304,706.82 and 120,200

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Solution

The fourth proportional to 220,802, 304,706.82 and 120,200 is: 165,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,802 : 304,706.82 = 120,200 : x
  2. Step 2: Convert to fraction form
    220,802/304,706.82 = 120,200/x
  3. Step 3: Cross multiply
    220,802x = 304,706.82 × 120,200
  4. Step 4: Simplify right side
    220,802x = 36,625,759,764
  5. Step 5: Solve for x
    x = 36,625,759,764/220,802
  6. Step 6: Final answer
    x = 165,876.03

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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.