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Finding the Fourth Proportional to 287,991.36, 431,893.17 and 136,173.42

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Solution

The fourth proportional to 287,991.36, 431,893.17 and 136,173.42 is: 204,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,991.36 : 431,893.17 = 136,173.42 : x
  2. Step 2: Convert to fraction form
    287,991.36/431,893.17 = 136,173.42/x
  3. Step 3: Cross multiply
    287,991.36x = 431,893.17 × 136,173.42
  4. Step 4: Simplify right side
    287,991.36x = 58,812,370,033.54
  5. Step 5: Solve for x
    x = 58,812,370,033.54/287,991.36
  6. Step 6: Final answer
    x = 204,215.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.