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Finding the Fourth Proportional to 202,231.90, 303,384.30 and 83,915.20

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Solution

The fourth proportional to 202,231.90, 303,384.30 and 83,915.20 is: 125,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,231.90 : 303,384.30 = 83,915.20 : x
  2. Step 2: Convert to fraction form
    202,231.90/303,384.30 = 83,915.20/x
  3. Step 3: Cross multiply
    202,231.90x = 303,384.30 × 83,915.20
  4. Step 4: Simplify right side
    202,231.90x = 25,458,554,211.36
  5. Step 5: Solve for x
    x = 25,458,554,211.36/202,231.90
  6. Step 6: Final answer
    x = 125,887.92

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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.