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Finding the Fourth Proportional to 205,970.20, 308,724.90 and 106,091.80

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Solution

The fourth proportional to 205,970.20, 308,724.90 and 106,091.80 is: 159,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,970.20 : 308,724.90 = 106,091.80 : x
  2. Step 2: Convert to fraction form
    205,970.20/308,724.90 = 106,091.80/x
  3. Step 3: Cross multiply
    205,970.20x = 308,724.90 × 106,091.80
  4. Step 4: Simplify right side
    205,970.20x = 32,753,180,345.82
  5. Step 5: Solve for x
    x = 32,753,180,345.82/205,970.20
  6. Step 6: Final answer
    x = 159,019.02

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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.