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Finding the Fourth Proportional to 76,287.62, 114,443.69 and 36,847.71

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Solution

The fourth proportional to 76,287.62, 114,443.69 and 36,847.71 is: 55,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287.62 : 114,443.69 = 36,847.71 : x
  2. Step 2: Convert to fraction form
    76,287.62/114,443.69 = 36,847.71/x
  3. Step 3: Cross multiply
    76,287.62x = 114,443.69 × 36,847.71
  4. Step 4: Simplify right side
    76,287.62x = 4,216,987,716.21
  5. Step 5: Solve for x
    x = 4,216,987,716.21/76,287.62
  6. Step 6: Final answer
    x = 55,277.48

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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.