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Finding the Fourth Proportional to 208,219.68, 312,489.90 and 108,405

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Solution

The fourth proportional to 208,219.68, 312,489.90 and 108,405 is: 162,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,219.68 : 312,489.90 = 108,405 : x
  2. Step 2: Convert to fraction form
    208,219.68/312,489.90 = 108,405/x
  3. Step 3: Cross multiply
    208,219.68x = 312,489.90 × 108,405
  4. Step 4: Simplify right side
    208,219.68x = 33,875,467,609.50
  5. Step 5: Solve for x
    x = 33,875,467,609.50/208,219.68
  6. Step 6: Final answer
    x = 162,691.00

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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.