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Finding the Fourth Proportional to 202,469.74, 303,515.30 and 90,088.93

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Solution

The fourth proportional to 202,469.74, 303,515.30 and 90,088.93 is: 135,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,469.74 : 303,515.30 = 90,088.93 : x
  2. Step 2: Convert to fraction form
    202,469.74/303,515.30 = 90,088.93/x
  3. Step 3: Cross multiply
    202,469.74x = 303,515.30 × 90,088.93
  4. Step 4: Simplify right side
    202,469.74x = 27,343,367,512.97
  5. Step 5: Solve for x
    x = 27,343,367,512.97/202,469.74
  6. Step 6: Final answer
    x = 135,049.15

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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.