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Finding the Fourth Proportional to 200,915.78, 301,385.21 and 72,859.94

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Solution

The fourth proportional to 200,915.78, 301,385.21 and 72,859.94 is: 109,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,915.78 : 301,385.21 = 72,859.94 : x
  2. Step 2: Convert to fraction form
    200,915.78/301,385.21 = 72,859.94/x
  3. Step 3: Cross multiply
    200,915.78x = 301,385.21 × 72,859.94
  4. Step 4: Simplify right side
    200,915.78x = 21,958,907,576.46
  5. Step 5: Solve for x
    x = 21,958,907,576.46/200,915.78
  6. Step 6: Final answer
    x = 109,294.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.