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Finding the Fourth Proportional to 86,192, 129,224.64 and 32,874.56

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Solution

The fourth proportional to 86,192, 129,224.64 and 32,874.56 is: 49,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,192 : 129,224.64 = 32,874.56 : x
  2. Step 2: Convert to fraction form
    86,192/129,224.64 = 32,874.56/x
  3. Step 3: Cross multiply
    86,192x = 129,224.64 × 32,874.56
  4. Step 4: Simplify right side
    86,192x = 4,248,203,181.16
  5. Step 5: Solve for x
    x = 4,248,203,181.16/86,192
  6. Step 6: Final answer
    x = 49,287.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.