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Finding the Fourth Proportional to 208,563.67, 312,845.50 and 96,210.65

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Solution

The fourth proportional to 208,563.67, 312,845.50 and 96,210.65 is: 144,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.67 : 312,845.50 = 96,210.65 : x
  2. Step 2: Convert to fraction form
    208,563.67/312,845.50 = 96,210.65/x
  3. Step 3: Cross multiply
    208,563.67x = 312,845.50 × 96,210.65
  4. Step 4: Simplify right side
    208,563.67x = 30,099,067,535.88
  5. Step 5: Solve for x
    x = 30,099,067,535.88/208,563.67
  6. Step 6: Final answer
    x = 144,315.97

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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.