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Finding the Fourth Proportional to 76,668, 114,967.44 and 29,919.84

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Solution

The fourth proportional to 76,668, 114,967.44 and 29,919.84 is: 44,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668 : 114,967.44 = 29,919.84 : x
  2. Step 2: Convert to fraction form
    76,668/114,967.44 = 29,919.84/x
  3. Step 3: Cross multiply
    76,668x = 114,967.44 × 29,919.84
  4. Step 4: Simplify right side
    76,668x = 3,439,807,410.01
  5. Step 5: Solve for x
    x = 3,439,807,410.01/76,668
  6. Step 6: Final answer
    x = 44,866.27

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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.