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Finding the Fourth Proportional to 202,269.80, 303,404.70 and 69,138.20

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Solution

The fourth proportional to 202,269.80, 303,404.70 and 69,138.20 is: 103,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269.80 : 303,404.70 = 69,138.20 : x
  2. Step 2: Convert to fraction form
    202,269.80/303,404.70 = 69,138.20/x
  3. Step 3: Cross multiply
    202,269.80x = 303,404.70 × 69,138.20
  4. Step 4: Simplify right side
    202,269.80x = 20,976,854,829.54
  5. Step 5: Solve for x
    x = 20,976,854,829.54/202,269.80
  6. Step 6: Final answer
    x = 103,707.30

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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.