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Finding the Fourth Proportional to 273,542.80, 410,273.16 and 86,530

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Solution

The fourth proportional to 273,542.80, 410,273.16 and 86,530 is: 129,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,542.80 : 410,273.16 = 86,530 : x
  2. Step 2: Convert to fraction form
    273,542.80/410,273.16 = 86,530/x
  3. Step 3: Cross multiply
    273,542.80x = 410,273.16 × 86,530
  4. Step 4: Simplify right side
    273,542.80x = 35,500,936,534.80
  5. Step 5: Solve for x
    x = 35,500,936,534.80/273,542.80
  6. Step 6: Final answer
    x = 129,782.02

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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.