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Finding the Fourth Proportional to 76,996.50, 115,495.02 and 21,592.50

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Solution

The fourth proportional to 76,996.50, 115,495.02 and 21,592.50 is: 32,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996.50 : 115,495.02 = 21,592.50 : x
  2. Step 2: Convert to fraction form
    76,996.50/115,495.02 = 21,592.50/x
  3. Step 3: Cross multiply
    76,996.50x = 115,495.02 × 21,592.50
  4. Step 4: Simplify right side
    76,996.50x = 2,493,826,219.35
  5. Step 5: Solve for x
    x = 2,493,826,219.35/76,996.50
  6. Step 6: Final answer
    x = 32,388.83

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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.