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Finding the Fourth Proportional to 221,742.48, 306,004.52 and 119,767.92

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Solution

The fourth proportional to 221,742.48, 306,004.52 and 119,767.92 is: 165,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,742.48 : 306,004.52 = 119,767.92 : x
  2. Step 2: Convert to fraction form
    221,742.48/306,004.52 = 119,767.92/x
  3. Step 3: Cross multiply
    221,742.48x = 306,004.52 × 119,767.92
  4. Step 4: Simplify right side
    221,742.48x = 36,649,524,871.00
  5. Step 5: Solve for x
    x = 36,649,524,871.00/221,742.48
  6. Step 6: Final answer
    x = 165,279.67

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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.