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Finding the Fourth Proportional to 208,155.87, 287,262.05 and 127,567.82

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Solution

The fourth proportional to 208,155.87, 287,262.05 and 127,567.82 is: 176,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,155.87 : 287,262.05 = 127,567.82 : x
  2. Step 2: Convert to fraction form
    208,155.87/287,262.05 = 127,567.82/x
  3. Step 3: Cross multiply
    208,155.87x = 287,262.05 × 127,567.82
  4. Step 4: Simplify right side
    208,155.87x = 36,645,394,524.31
  5. Step 5: Solve for x
    x = 36,645,394,524.31/208,155.87
  6. Step 6: Final answer
    x = 176,047.86

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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.