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Finding the Fourth Proportional to 204,076.70, 306,115.05 and 202,108.40

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Solution

The fourth proportional to 204,076.70, 306,115.05 and 202,108.40 is: 303,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,076.70 : 306,115.05 = 202,108.40 : x
  2. Step 2: Convert to fraction form
    204,076.70/306,115.05 = 202,108.40/x
  3. Step 3: Cross multiply
    204,076.70x = 306,115.05 × 202,108.40
  4. Step 4: Simplify right side
    204,076.70x = 61,868,422,971.42
  5. Step 5: Solve for x
    x = 61,868,422,971.42/204,076.70
  6. Step 6: Final answer
    x = 303,162.60

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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.