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Finding the Fourth Proportional to 202,456.60, 303,684.90 and 71,128.60

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Solution

The fourth proportional to 202,456.60, 303,684.90 and 71,128.60 is: 106,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,456.60 : 303,684.90 = 71,128.60 : x
  2. Step 2: Convert to fraction form
    202,456.60/303,684.90 = 71,128.60/x
  3. Step 3: Cross multiply
    202,456.60x = 303,684.90 × 71,128.60
  4. Step 4: Simplify right side
    202,456.60x = 21,600,681,778.14
  5. Step 5: Solve for x
    x = 21,600,681,778.14/202,456.60
  6. Step 6: Final answer
    x = 106,692.90

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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.