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Finding the Fourth Proportional to 273,541.80, 410,271.66 and 86,529

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Solution

The fourth proportional to 273,541.80, 410,271.66 and 86,529 is: 129,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,541.80 : 410,271.66 = 86,529 : x
  2. Step 2: Convert to fraction form
    273,541.80/410,271.66 = 86,529/x
  3. Step 3: Cross multiply
    273,541.80x = 410,271.66 × 86,529
  4. Step 4: Simplify right side
    273,541.80x = 35,500,396,468.14
  5. Step 5: Solve for x
    x = 35,500,396,468.14/273,541.80
  6. Step 6: Final answer
    x = 129,780.52

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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.