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Finding the Fourth Proportional to 275,142.48, 412,160.76 and 143,538

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Solution

The fourth proportional to 275,142.48, 412,160.76 and 143,538 is: 215,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,142.48 : 412,160.76 = 143,538 : x
  2. Step 2: Convert to fraction form
    275,142.48/412,160.76 = 143,538/x
  3. Step 3: Cross multiply
    275,142.48x = 412,160.76 × 143,538
  4. Step 4: Simplify right side
    275,142.48x = 59,160,731,168.88
  5. Step 5: Solve for x
    x = 59,160,731,168.88/275,142.48
  6. Step 6: Final answer
    x = 215,018.53

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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.