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Finding the Fourth Proportional to 78,375.20, 117,514.20 and 45,078.80

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Solution

The fourth proportional to 78,375.20, 117,514.20 and 45,078.80 is: 67,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375.20 : 117,514.20 = 45,078.80 : x
  2. Step 2: Convert to fraction form
    78,375.20/117,514.20 = 45,078.80/x
  3. Step 3: Cross multiply
    78,375.20x = 117,514.20 × 45,078.80
  4. Step 4: Simplify right side
    78,375.20x = 5,297,399,118.96
  5. Step 5: Solve for x
    x = 5,297,399,118.96/78,375.20
  6. Step 6: Final answer
    x = 67,590.25

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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.