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Finding the Fourth Proportional to 204,602.46, 306,945.77 and 86,274.14

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Solution

The fourth proportional to 204,602.46, 306,945.77 and 86,274.14 is: 129,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,602.46 : 306,945.77 = 86,274.14 : x
  2. Step 2: Convert to fraction form
    204,602.46/306,945.77 = 86,274.14/x
  3. Step 3: Cross multiply
    204,602.46x = 306,945.77 × 86,274.14
  4. Step 4: Simplify right side
    204,602.46x = 26,481,482,333.39
  5. Step 5: Solve for x
    x = 26,481,482,333.39/204,602.46
  6. Step 6: Final answer
    x = 129,428.95

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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.