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Finding the Fourth Proportional to 78,161.91, 107,865.42 and 47,963.91

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Solution

The fourth proportional to 78,161.91, 107,865.42 and 47,963.91 is: 66,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.91 : 107,865.42 = 47,963.91 : x
  2. Step 2: Convert to fraction form
    78,161.91/107,865.42 = 47,963.91/x
  3. Step 3: Cross multiply
    78,161.91x = 107,865.42 × 47,963.91
  4. Step 4: Simplify right side
    78,161.91x = 5,173,647,296.99
  5. Step 5: Solve for x
    x = 5,173,647,296.99/78,161.91
  6. Step 6: Final answer
    x = 66,191.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.