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Finding the Fourth Proportional to 221,346.72, 305,457.82 and 120,744

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Solution

The fourth proportional to 221,346.72, 305,457.82 and 120,744 is: 166,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,346.72 : 305,457.82 = 120,744 : x
  2. Step 2: Convert to fraction form
    221,346.72/305,457.82 = 120,744/x
  3. Step 3: Cross multiply
    221,346.72x = 305,457.82 × 120,744
  4. Step 4: Simplify right side
    221,346.72x = 36,882,199,018.08
  5. Step 5: Solve for x
    x = 36,882,199,018.08/221,346.72
  6. Step 6: Final answer
    x = 166,626.36

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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.