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Finding the Fourth Proportional to 76,747.20, 115,120.80 and 21,343.20

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Solution

The fourth proportional to 76,747.20, 115,120.80 and 21,343.20 is: 32,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,747.20 : 115,120.80 = 21,343.20 : x
  2. Step 2: Convert to fraction form
    76,747.20/115,120.80 = 21,343.20/x
  3. Step 3: Cross multiply
    76,747.20x = 115,120.80 × 21,343.20
  4. Step 4: Simplify right side
    76,747.20x = 2,457,046,258.56
  5. Step 5: Solve for x
    x = 2,457,046,258.56/76,747.20
  6. Step 6: Final answer
    x = 32,014.80

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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.