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Finding the Fourth Proportional to 78,591, 117,908.10 and 23,187

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Solution

The fourth proportional to 78,591, 117,908.10 and 23,187 is: 34,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,591 : 117,908.10 = 23,187 : x
  2. Step 2: Convert to fraction form
    78,591/117,908.10 = 23,187/x
  3. Step 3: Cross multiply
    78,591x = 117,908.10 × 23,187
  4. Step 4: Simplify right side
    78,591x = 2,733,935,114.70
  5. Step 5: Solve for x
    x = 2,733,935,114.70/78,591
  6. Step 6: Final answer
    x = 34,786.87

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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.