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Finding the Fourth Proportional to 208,177.90, 287,137.31 and 143,671.73

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Solution

The fourth proportional to 208,177.90, 287,137.31 and 143,671.73 is: 198,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,177.90 : 287,137.31 = 143,671.73 : x
  2. Step 2: Convert to fraction form
    208,177.90/287,137.31 = 143,671.73/x
  3. Step 3: Cross multiply
    208,177.90x = 287,137.31 × 143,671.73
  4. Step 4: Simplify right side
    208,177.90x = 41,253,511,921.20
  5. Step 5: Solve for x
    x = 41,253,511,921.20/208,177.90
  6. Step 6: Final answer
    x = 198,164.71

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1.5x scale

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.