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Finding the Fourth Proportional to 77,021, 115,514.90 and 44,978.68

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Solution

The fourth proportional to 77,021, 115,514.90 and 44,978.68 is: 67,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,021 : 115,514.90 = 44,978.68 : x
  2. Step 2: Convert to fraction form
    77,021/115,514.90 = 44,978.68/x
  3. Step 3: Cross multiply
    77,021x = 115,514.90 × 44,978.68
  4. Step 4: Simplify right side
    77,021x = 5,195,707,722.33
  5. Step 5: Solve for x
    x = 5,195,707,722.33/77,021
  6. Step 6: Final answer
    x = 67,458.33

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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.