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Finding the Fourth Proportional to 135,344.62, 203,016.02 and 105,787.31

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Solution

The fourth proportional to 135,344.62, 203,016.02 and 105,787.31 is: 158,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,344.62 : 203,016.02 = 105,787.31 : x
  2. Step 2: Convert to fraction form
    135,344.62/203,016.02 = 105,787.31/x
  3. Step 3: Cross multiply
    135,344.62x = 203,016.02 × 105,787.31
  4. Step 4: Simplify right side
    135,344.62x = 21,476,518,621.31
  5. Step 5: Solve for x
    x = 21,476,518,621.31/135,344.62
  6. Step 6: Final answer
    x = 158,680.26

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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.