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Finding the Fourth Proportional to 78,197.85, 117,278.78 and 46,616.83

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Solution

The fourth proportional to 78,197.85, 117,278.78 and 46,616.83 is: 69,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.85 : 117,278.78 = 46,616.83 : x
  2. Step 2: Convert to fraction form
    78,197.85/117,278.78 = 46,616.83/x
  3. Step 3: Cross multiply
    78,197.85x = 117,278.78 × 46,616.83
  4. Step 4: Simplify right side
    78,197.85x = 5,467,164,949.87
  5. Step 5: Solve for x
    x = 5,467,164,949.87/78,197.85
  6. Step 6: Final answer
    x = 69,914.52

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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.