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Finding the Fourth Proportional to 208,294.97, 287,446.62 and 112,801.37

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Solution

The fourth proportional to 208,294.97, 287,446.62 and 112,801.37 is: 155,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.97 : 287,446.62 = 112,801.37 : x
  2. Step 2: Convert to fraction form
    208,294.97/287,446.62 = 112,801.37/x
  3. Step 3: Cross multiply
    208,294.97x = 287,446.62 × 112,801.37
  4. Step 4: Simplify right side
    208,294.97x = 32,424,372,537.87
  5. Step 5: Solve for x
    x = 32,424,372,537.87/208,294.97
  6. Step 6: Final answer
    x = 155,665.65

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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.