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Finding the Fourth Proportional to 275,220.88, 412,827.58 and 75,541

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Solution

The fourth proportional to 275,220.88, 412,827.58 and 75,541 is: 113,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220.88 : 412,827.58 = 75,541 : x
  2. Step 2: Convert to fraction form
    275,220.88/412,827.58 = 75,541/x
  3. Step 3: Cross multiply
    275,220.88x = 412,827.58 × 75,541
  4. Step 4: Simplify right side
    275,220.88x = 31,185,408,220.78
  5. Step 5: Solve for x
    x = 31,185,408,220.78/275,220.88
  6. Step 6: Final answer
    x = 113,310.47

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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.