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Finding the Fourth Proportional to 192,138.73, 288,207.48 and 51,897.35

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Solution

The fourth proportional to 192,138.73, 288,207.48 and 51,897.35 is: 77,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,138.73 : 288,207.48 = 51,897.35 : x
  2. Step 2: Convert to fraction form
    192,138.73/288,207.48 = 51,897.35/x
  3. Step 3: Cross multiply
    192,138.73x = 288,207.48 × 51,897.35
  4. Step 4: Simplify right side
    192,138.73x = 14,957,205,182.70
  5. Step 5: Solve for x
    x = 14,957,205,182.70/192,138.73
  6. Step 6: Final answer
    x = 77,845.86

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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.