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Finding the Fourth Proportional to 76,287.42, 114,479.12 and 29,540.30

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Solution

The fourth proportional to 76,287.42, 114,479.12 and 29,540.30 is: 44,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287.42 : 114,479.12 = 29,540.30 : x
  2. Step 2: Convert to fraction form
    76,287.42/114,479.12 = 29,540.30/x
  3. Step 3: Cross multiply
    76,287.42x = 114,479.12 × 29,540.30
  4. Step 4: Simplify right side
    76,287.42x = 3,381,747,049.99
  5. Step 5: Solve for x
    x = 3,381,747,049.99/76,287.42
  6. Step 6: Final answer
    x = 44,329.03

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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.