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Finding the Fourth Proportional to 76,339.98, 114,517.82 and 26,420

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Solution

The fourth proportional to 76,339.98, 114,517.82 and 26,420 is: 39,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,339.98 : 114,517.82 = 26,420 : x
  2. Step 2: Convert to fraction form
    76,339.98/114,517.82 = 26,420/x
  3. Step 3: Cross multiply
    76,339.98x = 114,517.82 × 26,420
  4. Step 4: Simplify right side
    76,339.98x = 3,025,560,804.40
  5. Step 5: Solve for x
    x = 3,025,560,804.40/76,339.98
  6. Step 6: Final answer
    x = 39,632.72

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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.