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Finding the Fourth Proportional to 205,874.54, 308,836.71 and 72,727.55

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Solution

The fourth proportional to 205,874.54, 308,836.71 and 72,727.55 is: 109,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874.54 : 308,836.71 = 72,727.55 : x
  2. Step 2: Convert to fraction form
    205,874.54/308,836.71 = 72,727.55/x
  3. Step 3: Cross multiply
    205,874.54x = 308,836.71 × 72,727.55
  4. Step 4: Simplify right side
    205,874.54x = 22,460,935,724.18
  5. Step 5: Solve for x
    x = 22,460,935,724.18/205,874.54
  6. Step 6: Final answer
    x = 109,100.12

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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.