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Finding the Fourth Proportional to 220,963.50, 304,929.63 and 120,361.50

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Solution

The fourth proportional to 220,963.50, 304,929.63 and 120,361.50 is: 166,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,963.50 : 304,929.63 = 120,361.50 : x
  2. Step 2: Convert to fraction form
    220,963.50/304,929.63 = 120,361.50/x
  3. Step 3: Cross multiply
    220,963.50x = 304,929.63 × 120,361.50
  4. Step 4: Simplify right side
    220,963.50x = 36,701,787,661.25
  5. Step 5: Solve for x
    x = 36,701,787,661.25/220,963.50
  6. Step 6: Final answer
    x = 166,098.87

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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.