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Finding the Fourth Proportional to 202,478.76, 303,528.78 and 90,097.92

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Solution

The fourth proportional to 202,478.76, 303,528.78 and 90,097.92 is: 135,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,478.76 : 303,528.78 = 90,097.92 : x
  2. Step 2: Convert to fraction form
    202,478.76/303,528.78 = 90,097.92/x
  3. Step 3: Cross multiply
    202,478.76x = 303,528.78 × 90,097.92
  4. Step 4: Simplify right side
    202,478.76x = 27,347,311,738.14
  5. Step 5: Solve for x
    x = 27,347,311,738.14/202,478.76
  6. Step 6: Final answer
    x = 135,062.62

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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.