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Finding the Fourth Proportional to 208,861.64, 313,035.60 and 82,374.92

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Solution

The fourth proportional to 208,861.64, 313,035.60 and 82,374.92 is: 123,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,861.64 : 313,035.60 = 82,374.92 : x
  2. Step 2: Convert to fraction form
    208,861.64/313,035.60 = 82,374.92/x
  3. Step 3: Cross multiply
    208,861.64x = 313,035.60 × 82,374.92
  4. Step 4: Simplify right side
    208,861.64x = 25,786,282,507.15
  5. Step 5: Solve for x
    x = 25,786,282,507.15/208,861.64
  6. Step 6: Final answer
    x = 123,461.07

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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.