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Finding the Fourth Proportional to 205,439.40, 308,187.90 and 80,751.40

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Solution

The fourth proportional to 205,439.40, 308,187.90 and 80,751.40 is: 121,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,439.40 : 308,187.90 = 80,751.40 : x
  2. Step 2: Convert to fraction form
    205,439.40/308,187.90 = 80,751.40/x
  3. Step 3: Cross multiply
    205,439.40x = 308,187.90 × 80,751.40
  4. Step 4: Simplify right side
    205,439.40x = 24,886,604,388.06
  5. Step 5: Solve for x
    x = 24,886,604,388.06/205,439.40
  6. Step 6: Final answer
    x = 121,138.42

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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.