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Finding the Fourth Proportional to 202,057.40, 303,086.10 and 89,711.21

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Solution

The fourth proportional to 202,057.40, 303,086.10 and 89,711.21 is: 134,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,057.40 : 303,086.10 = 89,711.21 : x
  2. Step 2: Convert to fraction form
    202,057.40/303,086.10 = 89,711.21/x
  3. Step 3: Cross multiply
    202,057.40x = 303,086.10 × 89,711.21
  4. Step 4: Simplify right side
    202,057.40x = 27,190,220,765.18
  5. Step 5: Solve for x
    x = 27,190,220,765.18/202,057.40
  6. Step 6: Final answer
    x = 134,566.82

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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.