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Finding the Fourth Proportional to 208,542, 312,025.68 and 129,285.12

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Solution

The fourth proportional to 208,542, 312,025.68 and 129,285.12 is: 193,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542 : 312,025.68 = 129,285.12 : x
  2. Step 2: Convert to fraction form
    208,542/312,025.68 = 129,285.12/x
  3. Step 3: Cross multiply
    208,542x = 312,025.68 × 129,285.12
  4. Step 4: Simplify right side
    208,542x = 40,340,277,481.88
  5. Step 5: Solve for x
    x = 40,340,277,481.88/208,542
  6. Step 6: Final answer
    x = 193,439.58

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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.