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Finding the Fourth Proportional to 208,223.97, 312,464.45 and 81,842.03

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Solution

The fourth proportional to 208,223.97, 312,464.45 and 81,842.03 is: 122,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,223.97 : 312,464.45 = 81,842.03 : x
  2. Step 2: Convert to fraction form
    208,223.97/312,464.45 = 81,842.03/x
  3. Step 3: Cross multiply
    208,223.97x = 312,464.45 × 81,842.03
  4. Step 4: Simplify right side
    208,223.97x = 25,572,724,704.86
  5. Step 5: Solve for x
    x = 25,572,724,704.86/208,223.97
  6. Step 6: Final answer
    x = 122,813.55

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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.