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Finding the Fourth Proportional to 76,997.40, 115,485.30 and 24,412.20

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Solution

The fourth proportional to 76,997.40, 115,485.30 and 24,412.20 is: 36,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997.40 : 115,485.30 = 24,412.20 : x
  2. Step 2: Convert to fraction form
    76,997.40/115,485.30 = 24,412.20/x
  3. Step 3: Cross multiply
    76,997.40x = 115,485.30 × 24,412.20
  4. Step 4: Simplify right side
    76,997.40x = 2,819,250,240.66
  5. Step 5: Solve for x
    x = 2,819,250,240.66/76,997.40
  6. Step 6: Final answer
    x = 36,614.88

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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.