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Finding the Fourth Proportional to 221,853.84, 306,221.09 and 131,241.30

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Solution

The fourth proportional to 221,853.84, 306,221.09 and 131,241.30 is: 181,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,853.84 : 306,221.09 = 131,241.30 : x
  2. Step 2: Convert to fraction form
    221,853.84/306,221.09 = 131,241.30/x
  3. Step 3: Cross multiply
    221,853.84x = 306,221.09 × 131,241.30
  4. Step 4: Simplify right side
    221,853.84x = 40,188,853,282.81
  5. Step 5: Solve for x
    x = 40,188,853,282.81/221,853.84
  6. Step 6: Final answer
    x = 181,150.14

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1.5x scale

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.