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Finding the Fourth Proportional to 202,509.60, 303,472.80 and 90,097.80

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Solution

The fourth proportional to 202,509.60, 303,472.80 and 90,097.80 is: 135,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,509.60 : 303,472.80 = 90,097.80 : x
  2. Step 2: Convert to fraction form
    202,509.60/303,472.80 = 90,097.80/x
  3. Step 3: Cross multiply
    202,509.60x = 303,472.80 × 90,097.80
  4. Step 4: Simplify right side
    202,509.60x = 27,342,231,639.84
  5. Step 5: Solve for x
    x = 27,342,231,639.84/202,509.60
  6. Step 6: Final answer
    x = 135,016.97

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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.