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Finding the Fourth Proportional to 205,428.80, 308,143.20 and 116,855.30

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Solution

The fourth proportional to 205,428.80, 308,143.20 and 116,855.30 is: 175,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,428.80 : 308,143.20 = 116,855.30 : x
  2. Step 2: Convert to fraction form
    205,428.80/308,143.20 = 116,855.30/x
  3. Step 3: Cross multiply
    205,428.80x = 308,143.20 × 116,855.30
  4. Step 4: Simplify right side
    205,428.80x = 36,008,166,078.96
  5. Step 5: Solve for x
    x = 36,008,166,078.96/205,428.80
  6. Step 6: Final answer
    x = 175,282.95

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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.