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Finding the Fourth Proportional to 57,575.76, 86,388.66 and 20,162.67

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Solution

The fourth proportional to 57,575.76, 86,388.66 and 20,162.67 is: 30,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,575.76 : 86,388.66 = 20,162.67 : x
  2. Step 2: Convert to fraction form
    57,575.76/86,388.66 = 20,162.67/x
  3. Step 3: Cross multiply
    57,575.76x = 86,388.66 × 20,162.67
  4. Step 4: Simplify right side
    57,575.76x = 1,741,826,043.32
  5. Step 5: Solve for x
    x = 1,741,826,043.32/57,575.76
  6. Step 6: Final answer
    x = 30,252.77

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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.