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Finding the Fourth Proportional to 76,914, 115,375.32 and 21,514.32

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Solution

The fourth proportional to 76,914, 115,375.32 and 21,514.32 is: 32,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,914 : 115,375.32 = 21,514.32 : x
  2. Step 2: Convert to fraction form
    76,914/115,375.32 = 21,514.32/x
  3. Step 3: Cross multiply
    76,914x = 115,375.32 × 21,514.32
  4. Step 4: Simplify right side
    76,914x = 2,482,221,554.58
  5. Step 5: Solve for x
    x = 2,482,221,554.58/76,914
  6. Step 6: Final answer
    x = 32,272.69

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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.