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Finding the Fourth Proportional to 221,857.82, 306,416.34 and 149,134.44

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Solution

The fourth proportional to 221,857.82, 306,416.34 and 149,134.44 is: 205,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,857.82 : 306,416.34 = 149,134.44 : x
  2. Step 2: Convert to fraction form
    221,857.82/306,416.34 = 149,134.44/x
  3. Step 3: Cross multiply
    221,857.82x = 306,416.34 × 149,134.44
  4. Step 4: Simplify right side
    221,857.82x = 45,697,229,272.75
  5. Step 5: Solve for x
    x = 45,697,229,272.75/221,857.82
  6. Step 6: Final answer
    x = 205,975.29

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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.