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Finding the Fourth Proportional to 76,604.76, 114,960 and 26,685.27

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Solution

The fourth proportional to 76,604.76, 114,960 and 26,685.27 is: 40,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,604.76 : 114,960 = 26,685.27 : x
  2. Step 2: Convert to fraction form
    76,604.76/114,960 = 26,685.27/x
  3. Step 3: Cross multiply
    76,604.76x = 114,960 × 26,685.27
  4. Step 4: Simplify right side
    76,604.76x = 3,067,739,070.30
  5. Step 5: Solve for x
    x = 3,067,739,070.30/76,604.76
  6. Step 6: Final answer
    x = 40,046.32

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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.