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Finding the Fourth Proportional to 208,403.67, 312,632.00 and 66,198.21

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Solution

The fourth proportional to 208,403.67, 312,632.00 and 66,198.21 is: 99,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,403.67 : 312,632.00 = 66,198.21 : x
  2. Step 2: Convert to fraction form
    208,403.67/312,632.00 = 66,198.21/x
  3. Step 3: Cross multiply
    208,403.67x = 312,632.00 × 66,198.21
  4. Step 4: Simplify right side
    208,403.67x = 20,695,678,457.73
  5. Step 5: Solve for x
    x = 20,695,678,457.73/208,403.67
  6. Step 6: Final answer
    x = 99,305.73

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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.