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Finding the Fourth Proportional to 202,571.30, 303,938.70 and 90,174.72

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Solution

The fourth proportional to 202,571.30, 303,938.70 and 90,174.72 is: 135,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,571.30 : 303,938.70 = 90,174.72 : x
  2. Step 2: Convert to fraction form
    202,571.30/303,938.70 = 90,174.72/x
  3. Step 3: Cross multiply
    202,571.30x = 303,938.70 × 90,174.72
  4. Step 4: Simplify right side
    202,571.30x = 27,407,587,169.66
  5. Step 5: Solve for x
    x = 27,407,587,169.66/202,571.30
  6. Step 6: Final answer
    x = 135,298.47

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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.