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Finding the Fourth Proportional to 202,302.80, 303,344.85 and 83,986.10

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Solution

The fourth proportional to 202,302.80, 303,344.85 and 83,986.10 is: 125,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302.80 : 303,344.85 = 83,986.10 : x
  2. Step 2: Convert to fraction form
    202,302.80/303,344.85 = 83,986.10/x
  3. Step 3: Cross multiply
    202,302.80x = 303,344.85 × 83,986.10
  4. Step 4: Simplify right side
    202,302.80x = 25,476,750,906.59
  5. Step 5: Solve for x
    x = 25,476,750,906.59/202,302.80
  6. Step 6: Final answer
    x = 125,933.75

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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.