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Finding the Fourth Proportional to 273,545.80, 410,277.64 and 86,533

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Solution

The fourth proportional to 273,545.80, 410,277.64 and 86,533 is: 129,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,545.80 : 410,277.64 = 86,533 : x
  2. Step 2: Convert to fraction form
    273,545.80/410,277.64 = 86,533/x
  3. Step 3: Cross multiply
    273,545.80x = 410,277.64 × 86,533
  4. Step 4: Simplify right side
    273,545.80x = 35,502,555,022.12
  5. Step 5: Solve for x
    x = 35,502,555,022.12/273,545.80
  6. Step 6: Final answer
    x = 129,786.51

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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.