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Finding the Fourth Proportional to 82,495.80, 123,714.90 and 43,039.80

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Solution

The fourth proportional to 82,495.80, 123,714.90 and 43,039.80 is: 64,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,495.80 : 123,714.90 = 43,039.80 : x
  2. Step 2: Convert to fraction form
    82,495.80/123,714.90 = 43,039.80/x
  3. Step 3: Cross multiply
    82,495.80x = 123,714.90 × 43,039.80
  4. Step 4: Simplify right side
    82,495.80x = 5,324,664,553.02
  5. Step 5: Solve for x
    x = 5,324,664,553.02/82,495.80
  6. Step 6: Final answer
    x = 64,544.67

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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.