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Finding the Fourth Proportional to 202,022.49, 303,106.28 and 86,568.54

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Solution

The fourth proportional to 202,022.49, 303,106.28 and 86,568.54 is: 129,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.49 : 303,106.28 = 86,568.54 : x
  2. Step 2: Convert to fraction form
    202,022.49/303,106.28 = 86,568.54/x
  3. Step 3: Cross multiply
    202,022.49x = 303,106.28 × 86,568.54
  4. Step 4: Simplify right side
    202,022.49x = 26,239,466,554.94
  5. Step 5: Solve for x
    x = 26,239,466,554.94/202,022.49
  6. Step 6: Final answer
    x = 129,883.89

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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.