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Finding the Fourth Proportional to 76,980.82, 115,474.44 and 26,414.61

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Solution

The fourth proportional to 76,980.82, 115,474.44 and 26,414.61 is: 39,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.82 : 115,474.44 = 26,414.61 : x
  2. Step 2: Convert to fraction form
    76,980.82/115,474.44 = 26,414.61/x
  3. Step 3: Cross multiply
    76,980.82x = 115,474.44 × 26,414.61
  4. Step 4: Simplify right side
    76,980.82x = 3,050,212,826.47
  5. Step 5: Solve for x
    x = 3,050,212,826.47/76,980.82
  6. Step 6: Final answer
    x = 39,623.02

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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.