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Finding the Fourth Proportional to 208,494, 287,720.10 and 112,998.24

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Solution

The fourth proportional to 208,494, 287,720.10 and 112,998.24 is: 155,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,494 : 287,720.10 = 112,998.24 : x
  2. Step 2: Convert to fraction form
    208,494/287,720.10 = 112,998.24/x
  3. Step 3: Cross multiply
    208,494x = 287,720.10 × 112,998.24
  4. Step 4: Simplify right side
    208,494x = 32,511,864,912.62
  5. Step 5: Solve for x
    x = 32,511,864,912.62/208,494
  6. Step 6: Final answer
    x = 155,936.69

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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.