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Finding the Fourth Proportional to 202,291.65, 303,546.83 and 89,989.20

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Solution

The fourth proportional to 202,291.65, 303,546.83 and 89,989.20 is: 135,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291.65 : 303,546.83 = 89,989.20 : x
  2. Step 2: Convert to fraction form
    202,291.65/303,546.83 = 89,989.20/x
  3. Step 3: Cross multiply
    202,291.65x = 303,546.83 × 89,989.20
  4. Step 4: Simplify right side
    202,291.65x = 27,315,935,944.29
  5. Step 5: Solve for x
    x = 27,315,935,944.29/202,291.65
  6. Step 6: Final answer
    x = 135,032.44

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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.