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Finding the Fourth Proportional to 204,030, 306,062.64 and 56,286

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Solution

The fourth proportional to 204,030, 306,062.64 and 56,286 is: 84,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,030 : 306,062.64 = 56,286 : x
  2. Step 2: Convert to fraction form
    204,030/306,062.64 = 56,286/x
  3. Step 3: Cross multiply
    204,030x = 306,062.64 × 56,286
  4. Step 4: Simplify right side
    204,030x = 17,227,041,755.04
  5. Step 5: Solve for x
    x = 17,227,041,755.04/204,030
  6. Step 6: Final answer
    x = 84,433.87

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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.