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Finding the Fourth Proportional to 76,843.86, 115,265.80 and 20,684.10

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Solution

The fourth proportional to 76,843.86, 115,265.80 and 20,684.10 is: 31,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.86 : 115,265.80 = 20,684.10 : x
  2. Step 2: Convert to fraction form
    76,843.86/115,265.80 = 20,684.10/x
  3. Step 3: Cross multiply
    76,843.86x = 115,265.80 × 20,684.10
  4. Step 4: Simplify right side
    76,843.86x = 2,384,169,333.78
  5. Step 5: Solve for x
    x = 2,384,169,333.78/76,843.86
  6. Step 6: Final answer
    x = 31,026.15

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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.