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Finding the Fourth Proportional to 204,604.46, 306,948.77 and 86,276.14

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Solution

The fourth proportional to 204,604.46, 306,948.77 and 86,276.14 is: 129,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,604.46 : 306,948.77 = 86,276.14 : x
  2. Step 2: Convert to fraction form
    204,604.46/306,948.77 = 86,276.14/x
  3. Step 3: Cross multiply
    204,604.46x = 306,948.77 × 86,276.14
  4. Step 4: Simplify right side
    204,604.46x = 26,482,355,053.35
  5. Step 5: Solve for x
    x = 26,482,355,053.35/204,604.46
  6. Step 6: Final answer
    x = 129,431.95

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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.