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Finding the Fourth Proportional to 221,811.52, 306,008.40 and 161,249.44

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Solution

The fourth proportional to 221,811.52, 306,008.40 and 161,249.44 is: 222,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,811.52 : 306,008.40 = 161,249.44 : x
  2. Step 2: Convert to fraction form
    221,811.52/306,008.40 = 161,249.44/x
  3. Step 3: Cross multiply
    221,811.52x = 306,008.40 × 161,249.44
  4. Step 4: Simplify right side
    221,811.52x = 49,343,683,135.30
  5. Step 5: Solve for x
    x = 49,343,683,135.30/221,811.52
  6. Step 6: Final answer
    x = 222,457.71

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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.