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Finding the Fourth Proportional to 76,491.45, 114,692.63 and 29,689.65

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Solution

The fourth proportional to 76,491.45, 114,692.63 and 29,689.65 is: 44,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.45 : 114,692.63 = 29,689.65 : x
  2. Step 2: Convert to fraction form
    76,491.45/114,692.63 = 29,689.65/x
  3. Step 3: Cross multiply
    76,491.45x = 114,692.63 × 29,689.65
  4. Step 4: Simplify right side
    76,491.45x = 3,405,183,893.83
  5. Step 5: Solve for x
    x = 3,405,183,893.83/76,491.45
  6. Step 6: Final answer
    x = 44,517.18

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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.