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Finding the Fourth Proportional to 76,491.83, 114,742.80 and 20,331.15

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Solution

The fourth proportional to 76,491.83, 114,742.80 and 20,331.15 is: 30,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.83 : 114,742.80 = 20,331.15 : x
  2. Step 2: Convert to fraction form
    76,491.83/114,742.80 = 20,331.15/x
  3. Step 3: Cross multiply
    76,491.83x = 114,742.80 × 20,331.15
  4. Step 4: Simplify right side
    76,491.83x = 2,332,853,078.22
  5. Step 5: Solve for x
    x = 2,332,853,078.22/76,491.83
  6. Step 6: Final answer
    x = 30,498.07

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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.