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Finding the Fourth Proportional to 275,182.20, 412,703.10 and 85,605.48

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Solution

The fourth proportional to 275,182.20, 412,703.10 and 85,605.48 is: 128,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,182.20 : 412,703.10 = 85,605.48 : x
  2. Step 2: Convert to fraction form
    275,182.20/412,703.10 = 85,605.48/x
  3. Step 3: Cross multiply
    275,182.20x = 412,703.10 × 85,605.48
  4. Step 4: Simplify right side
    275,182.20x = 35,329,646,972.99
  5. Step 5: Solve for x
    x = 35,329,646,972.99/275,182.20
  6. Step 6: Final answer
    x = 128,386.38

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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.