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Finding the Fourth Proportional to 208,847.43, 287,991.60 and 123,948.09

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Solution

The fourth proportional to 208,847.43, 287,991.60 and 123,948.09 is: 170,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.43 : 287,991.60 = 123,948.09 : x
  2. Step 2: Convert to fraction form
    208,847.43/287,991.60 = 123,948.09/x
  3. Step 3: Cross multiply
    208,847.43x = 287,991.60 × 123,948.09
  4. Step 4: Simplify right side
    208,847.43x = 35,696,008,756.04
  5. Step 5: Solve for x
    x = 35,696,008,756.04/208,847.43
  6. Step 6: Final answer
    x = 170,919.07

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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.