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Finding the Fourth Proportional to 205,846.58, 308,727.84 and 72,731.18

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Solution

The fourth proportional to 205,846.58, 308,727.84 and 72,731.18 is: 109,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,846.58 : 308,727.84 = 72,731.18 : x
  2. Step 2: Convert to fraction form
    205,846.58/308,727.84 = 72,731.18/x
  3. Step 3: Cross multiply
    205,846.58x = 308,727.84 × 72,731.18
  4. Step 4: Simplify right side
    205,846.58x = 22,454,140,102.05
  5. Step 5: Solve for x
    x = 22,454,140,102.05/205,846.58
  6. Step 6: Final answer
    x = 109,081.92

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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.