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Finding the Fourth Proportional to 130,396.50, 179,958.11 and 82,632.42

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Solution

The fourth proportional to 130,396.50, 179,958.11 and 82,632.42 is: 114,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,396.50 : 179,958.11 = 82,632.42 : x
  2. Step 2: Convert to fraction form
    130,396.50/179,958.11 = 82,632.42/x
  3. Step 3: Cross multiply
    130,396.50x = 179,958.11 × 82,632.42
  4. Step 4: Simplify right side
    130,396.50x = 14,870,373,714.76
  5. Step 5: Solve for x
    x = 14,870,373,714.76/130,396.50
  6. Step 6: Final answer
    x = 114,039.67

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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.