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Finding the Fourth Proportional to 76,573.08, 114,865.09 and 20,412.90

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Solution

The fourth proportional to 76,573.08, 114,865.09 and 20,412.90 is: 30,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,573.08 : 114,865.09 = 20,412.90 : x
  2. Step 2: Convert to fraction form
    76,573.08/114,865.09 = 20,412.90/x
  3. Step 3: Cross multiply
    76,573.08x = 114,865.09 × 20,412.90
  4. Step 4: Simplify right side
    76,573.08x = 2,344,729,595.66
  5. Step 5: Solve for x
    x = 2,344,729,595.66/76,573.08
  6. Step 6: Final answer
    x = 30,620.81

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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.