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Finding the Fourth Proportional to 76,135.67, 114,195.30 and 19,981.41

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Solution

The fourth proportional to 76,135.67, 114,195.30 and 19,981.41 is: 29,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,135.67 : 114,195.30 = 19,981.41 : x
  2. Step 2: Convert to fraction form
    76,135.67/114,195.30 = 19,981.41/x
  3. Step 3: Cross multiply
    76,135.67x = 114,195.30 × 19,981.41
  4. Step 4: Simplify right side
    76,135.67x = 2,281,782,606.21
  5. Step 5: Solve for x
    x = 2,281,782,606.21/76,135.67
  6. Step 6: Final answer
    x = 29,969.96

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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.