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Finding the Fourth Proportional to 78,325.89, 117,491.11 and 19,161.54

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Solution

The fourth proportional to 78,325.89, 117,491.11 and 19,161.54 is: 28,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,325.89 : 117,491.11 = 19,161.54 : x
  2. Step 2: Convert to fraction form
    78,325.89/117,491.11 = 19,161.54/x
  3. Step 3: Cross multiply
    78,325.89x = 117,491.11 × 19,161.54
  4. Step 4: Simplify right side
    78,325.89x = 2,251,309,920.65
  5. Step 5: Solve for x
    x = 2,251,309,920.65/78,325.89
  6. Step 6: Final answer
    x = 28,742.86

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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.