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Finding the Fourth Proportional to 202,208.30, 303,421.80 and 83,891.60

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Solution

The fourth proportional to 202,208.30, 303,421.80 and 83,891.60 is: 125,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208.30 : 303,421.80 = 83,891.60 : x
  2. Step 2: Convert to fraction form
    202,208.30/303,421.80 = 83,891.60/x
  3. Step 3: Cross multiply
    202,208.30x = 303,421.80 × 83,891.60
  4. Step 4: Simplify right side
    202,208.30x = 25,454,540,276.88
  5. Step 5: Solve for x
    x = 25,454,540,276.88/202,208.30
  6. Step 6: Final answer
    x = 125,882.77

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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.