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Finding the Fourth Proportional to 208,550.80, 287,801.58 and 113,059

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Solution

The fourth proportional to 208,550.80, 287,801.58 and 113,059 is: 156,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,550.80 : 287,801.58 = 113,059 : x
  2. Step 2: Convert to fraction form
    208,550.80/287,801.58 = 113,059/x
  3. Step 3: Cross multiply
    208,550.80x = 287,801.58 × 113,059
  4. Step 4: Simplify right side
    208,550.80x = 32,538,558,833.22
  5. Step 5: Solve for x
    x = 32,538,558,833.22/208,550.80
  6. Step 6: Final answer
    x = 156,022.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.