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Finding the Fourth Proportional to 221,842.35, 306,205.16 and 131,229.82

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Solution

The fourth proportional to 221,842.35, 306,205.16 and 131,229.82 is: 181,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,842.35 : 306,205.16 = 131,229.82 : x
  2. Step 2: Convert to fraction form
    221,842.35/306,205.16 = 131,229.82/x
  3. Step 3: Cross multiply
    221,842.35x = 306,205.16 × 131,229.82
  4. Step 4: Simplify right side
    221,842.35x = 40,183,247,100.32
  5. Step 5: Solve for x
    x = 40,183,247,100.32/221,842.35
  6. Step 6: Final answer
    x = 181,134.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.