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Finding the Fourth Proportional to 202,601.50, 303,915.21 and 77,942.50

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Solution

The fourth proportional to 202,601.50, 303,915.21 and 77,942.50 is: 116,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,601.50 : 303,915.21 = 77,942.50 : x
  2. Step 2: Convert to fraction form
    202,601.50/303,915.21 = 77,942.50/x
  3. Step 3: Cross multiply
    202,601.50x = 303,915.21 × 77,942.50
  4. Step 4: Simplify right side
    202,601.50x = 23,687,911,255.43
  5. Step 5: Solve for x
    x = 23,687,911,255.43/202,601.50
  6. Step 6: Final answer
    x = 116,918.74

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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.