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Finding the Fourth Proportional to 202,005.90, 303,336.90 and 135,739.80

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Solution

The fourth proportional to 202,005.90, 303,336.90 and 135,739.80 is: 203,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.90 : 303,336.90 = 135,739.80 : x
  2. Step 2: Convert to fraction form
    202,005.90/303,336.90 = 135,739.80/x
  3. Step 3: Cross multiply
    202,005.90x = 303,336.90 × 135,739.80
  4. Step 4: Simplify right side
    202,005.90x = 41,174,890,138.62
  5. Step 5: Solve for x
    x = 41,174,890,138.62/202,005.90
  6. Step 6: Final answer
    x = 203,830.14

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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.