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Finding the Fourth Proportional to 76,568.32, 114,843.34 and 20,412.64

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Solution

The fourth proportional to 76,568.32, 114,843.34 and 20,412.64 is: 30,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,568.32 : 114,843.34 = 20,412.64 : x
  2. Step 2: Convert to fraction form
    76,568.32/114,843.34 = 20,412.64/x
  3. Step 3: Cross multiply
    76,568.32x = 114,843.34 × 20,412.64
  4. Step 4: Simplify right side
    76,568.32x = 2,344,255,755.82
  5. Step 5: Solve for x
    x = 2,344,255,755.82/76,568.32
  6. Step 6: Final answer
    x = 30,616.52

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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.