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Finding the Fourth Proportional to 275,031.72, 412,556.22 and 85,493.07

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Solution

The fourth proportional to 275,031.72, 412,556.22 and 85,493.07 is: 128,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,031.72 : 412,556.22 = 85,493.07 : x
  2. Step 2: Convert to fraction form
    275,031.72/412,556.22 = 85,493.07/x
  3. Step 3: Cross multiply
    275,031.72x = 412,556.22 × 85,493.07
  4. Step 4: Simplify right side
    275,031.72x = 35,270,697,795.40
  5. Step 5: Solve for x
    x = 35,270,697,795.40/275,031.72
  6. Step 6: Final answer
    x = 128,242.29

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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.