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Finding the Fourth Proportional to 76,086, 114,129.27 and 20,682

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Solution

The fourth proportional to 76,086, 114,129.27 and 20,682 is: 31,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,086 : 114,129.27 = 20,682 : x
  2. Step 2: Convert to fraction form
    76,086/114,129.27 = 20,682/x
  3. Step 3: Cross multiply
    76,086x = 114,129.27 × 20,682
  4. Step 4: Simplify right side
    76,086x = 2,360,421,562.14
  5. Step 5: Solve for x
    x = 2,360,421,562.14/76,086
  6. Step 6: Final answer
    x = 31,023.07

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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.