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Finding the Fourth Proportional to 161,481, 222,843.78 and 90,825

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Solution

The fourth proportional to 161,481, 222,843.78 and 90,825 is: 125,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,481 : 222,843.78 = 90,825 : x
  2. Step 2: Convert to fraction form
    161,481/222,843.78 = 90,825/x
  3. Step 3: Cross multiply
    161,481x = 222,843.78 × 90,825
  4. Step 4: Simplify right side
    161,481x = 20,239,786,318.50
  5. Step 5: Solve for x
    x = 20,239,786,318.50/161,481
  6. Step 6: Final answer
    x = 125,338.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.