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Finding the Fourth Proportional to 208,243.08, 312,493.14 and 81,861.21

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Solution

The fourth proportional to 208,243.08, 312,493.14 and 81,861.21 is: 122,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.08 : 312,493.14 = 81,861.21 : x
  2. Step 2: Convert to fraction form
    208,243.08/312,493.14 = 81,861.21/x
  3. Step 3: Cross multiply
    208,243.08x = 312,493.14 × 81,861.21
  4. Step 4: Simplify right side
    208,243.08x = 25,581,066,557.10
  5. Step 5: Solve for x
    x = 25,581,066,557.10/208,243.08
  6. Step 6: Final answer
    x = 122,842.34

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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.