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Finding the Fourth Proportional to 273,529.80, 410,253.66 and 86,517

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Solution

The fourth proportional to 273,529.80, 410,253.66 and 86,517 is: 129,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,529.80 : 410,253.66 = 86,517 : x
  2. Step 2: Convert to fraction form
    273,529.80/410,253.66 = 86,517/x
  3. Step 3: Cross multiply
    273,529.80x = 410,253.66 × 86,517
  4. Step 4: Simplify right side
    273,529.80x = 35,493,915,902.22
  5. Step 5: Solve for x
    x = 35,493,915,902.22/273,529.80
  6. Step 6: Final answer
    x = 129,762.52

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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.