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Finding the Fourth Proportional to 144,542.52, 216,906.33 and 78,028.97

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Solution

The fourth proportional to 144,542.52, 216,906.33 and 78,028.97 is: 117,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,542.52 : 216,906.33 = 78,028.97 : x
  2. Step 2: Convert to fraction form
    144,542.52/216,906.33 = 78,028.97/x
  3. Step 3: Cross multiply
    144,542.52x = 216,906.33 × 78,028.97
  4. Step 4: Simplify right side
    144,542.52x = 16,924,976,431.85
  5. Step 5: Solve for x
    x = 16,924,976,431.85/144,542.52
  6. Step 6: Final answer
    x = 117,093.41

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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.