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Finding the Fourth Proportional to 202,171.80, 303,148.35 and 83,855.10

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Solution

The fourth proportional to 202,171.80, 303,148.35 and 83,855.10 is: 125,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171.80 : 303,148.35 = 83,855.10 : x
  2. Step 2: Convert to fraction form
    202,171.80/303,148.35 = 83,855.10/x
  3. Step 3: Cross multiply
    202,171.80x = 303,148.35 × 83,855.10
  4. Step 4: Simplify right side
    202,171.80x = 25,420,535,204.09
  5. Step 5: Solve for x
    x = 25,420,535,204.09/202,171.80
  6. Step 6: Final answer
    x = 125,737.29

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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.