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Finding the Fourth Proportional to 208,310.60, 287,469.12 and 112,817

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Solution

The fourth proportional to 208,310.60, 287,469.12 and 112,817 is: 155,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,310.60 : 287,469.12 = 112,817 : x
  2. Step 2: Convert to fraction form
    208,310.60/287,469.12 = 112,817/x
  3. Step 3: Cross multiply
    208,310.60x = 287,469.12 × 112,817
  4. Step 4: Simplify right side
    208,310.60x = 32,431,403,711.04
  5. Step 5: Solve for x
    x = 32,431,403,711.04/208,310.60
  6. Step 6: Final answer
    x = 155,687.73

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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.