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Finding the Fourth Proportional to 78,519.66, 117,791.13 and 36,403.98

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Solution

The fourth proportional to 78,519.66, 117,791.13 and 36,403.98 is: 54,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,519.66 : 117,791.13 = 36,403.98 : x
  2. Step 2: Convert to fraction form
    78,519.66/117,791.13 = 36,403.98/x
  3. Step 3: Cross multiply
    78,519.66x = 117,791.13 × 36,403.98
  4. Step 4: Simplify right side
    78,519.66x = 4,288,065,940.70
  5. Step 5: Solve for x
    x = 4,288,065,940.70/78,519.66
  6. Step 6: Final answer
    x = 54,611.37

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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.