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Finding the Fourth Proportional to 208,100.16, 287,107.94 and 135,469.89

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Solution

The fourth proportional to 208,100.16, 287,107.94 and 135,469.89 is: 186,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,100.16 : 287,107.94 = 135,469.89 : x
  2. Step 2: Convert to fraction form
    208,100.16/287,107.94 = 135,469.89/x
  3. Step 3: Cross multiply
    208,100.16x = 287,107.94 × 135,469.89
  4. Step 4: Simplify right side
    208,100.16x = 38,894,480,372.58
  5. Step 5: Solve for x
    x = 38,894,480,372.58/208,100.16
  6. Step 6: Final answer
    x = 186,902.69

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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.