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Finding the Fourth Proportional to 208,692.89, 287,996.18 and 118,046.91

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Solution

The fourth proportional to 208,692.89, 287,996.18 and 118,046.91 is: 162,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,692.89 : 287,996.18 = 118,046.91 : x
  2. Step 2: Convert to fraction form
    208,692.89/287,996.18 = 118,046.91/x
  3. Step 3: Cross multiply
    208,692.89x = 287,996.18 × 118,046.91
  4. Step 4: Simplify right side
    208,692.89x = 33,997,058,550.57
  5. Step 5: Solve for x
    x = 33,997,058,550.57/208,692.89
  6. Step 6: Final answer
    x = 162,904.73

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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.