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Finding the Fourth Proportional to 77,078.75, 115,618.17 and 21,674.75

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Solution

The fourth proportional to 77,078.75, 115,618.17 and 21,674.75 is: 32,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078.75 : 115,618.17 = 21,674.75 : x
  2. Step 2: Convert to fraction form
    77,078.75/115,618.17 = 21,674.75/x
  3. Step 3: Cross multiply
    77,078.75x = 115,618.17 × 21,674.75
  4. Step 4: Simplify right side
    77,078.75x = 2,505,994,930.21
  5. Step 5: Solve for x
    x = 2,505,994,930.21/77,078.75
  6. Step 6: Final answer
    x = 32,512.14

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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.